0

Pressure exerted by air - class-XI

Attempted 0/90 Correct 0 Score 0

A cubical vessel sealed vessel with edge $L$ is placed on a cart, which is moving horizontally with an acceleration `a' as shown iin figure. The cube is filled with an ideal fluid having density $\rho$. Find the gauge pressure at the centre of the cubical vessel.

  1. $\dfrac{Ldg}2$

  2. $\dfrac{Ld(g+a)}2$

  3. $\dfrac{Lda}2$

  4. $\dfrac{Ld(g-a)}2$


Correct Option: B

State whether given statement is True or False
You find your mass to be $42$kg on a weighing machine. Is your mass more or less than $42$kg?

  1. True

  2. False


Correct Option: B
Explanation:

When you weigh your body, an upward buoyant force acts on your body due to the air (a fluid) present around you. As a result, the body gets pushed slightly upwards, causing the weighing machine to show a reading slightly less than the actual value.

State whether true or false:

A sheet of paper falls slower than one that is crumpled into a ball.

  1. True

  2. False


Correct Option: A
Explanation:

Sheet crumpled into a ball has a small surface area as compared to the similar unfolded sheet. Therefore, unfolded sheet will experience more resistance due to air as compared to the sheet crumpled into a ball, inspite of same force of gravity acting upon them. It is larger resistance of air which slows down the unfolded sheet, and therefore it falls slower as compared to sheet crumpled into a ball.

The boiling point of a liquid can be raised by

  1. Increasing pressure

  2. Decreasing pressure

  3. Increasing the heat supply

  4. Increasing the quantity of the liquid


Correct Option: A
Explanation:

When water heats up the molecules move faster and faster and move farther apart, eventually becoming steam. When the pressure on the water is increased,  the molecules are more tightly held. This helps keep them from moving apart so it requires more heat to get them to "break free" and move apart. So, the higher the water pressure the higher the boiling point. 

Cooking is done fast in pressure cooker because

  1. The boiling point of water is lowered

  2. The boiling point of water is increased

  3. More pressure is the cooker cooks the food at 100C

  4. The boiling point remains the same but more steam cooks the food


Correct Option: B
Explanation:

In a pressure cooker, as the pressure inside increases with time, the boiling point of water increases and hence is able to cook fast.

When the piston of a pump is pulled up, the pressure inside_____

  1. decreases

  2. increases

  3. remains same

  4. none of the above


Correct Option: A
Explanation:

As the piston of pump is pulled up, the pressure inside decrees which leads to unbalance of pressures.

The air pressure inside out body is equal to the ____?

  1. in internal pressure

  2. atmospheric pressure

  3. both a and b

  4. none of the above


Correct Option: B
Explanation:

The pressure inside our bodies is equal to the atmospheric pressure and cancels the pressure from outside. we do not get crushed under the atmospheric pressure.

Ink does not spill out of an ink dropper when the atmospheric pressure and ____ pressure are equal.

  1. external

  2. internal

  3. air

  4. vaccuum


Correct Option: B
Explanation:

As the pressure inside the dropper, i.e, the internal pressure and the atmospheric pressure become equals,  ink does not spill out.

State whether the following statements are true or false?
(i) the pressure inside our body is equal to the atmospheric pressure
(ii) pressure is inversely proportional to the area.

  1. Both are true

  2. Both are false

  3. (i) True

    (ii) False

  4. (i) False

    (ii) True


Correct Option: A
Explanation:

(i) True, because we do not get crushed as the pressure inside and atmospheric pressure becomes equal.

(ii) True, as $pressure=\dfrac{force}{area}$. So, for constant force, $pressure\propto\dfrac{1}{area}$

Height of atmosphere is about ________ $km$.

  1. $3000$

  2. $300$

  3. $30$

  4. $30000$


Correct Option: B
Explanation:
Earth is surrounded by an envelope of air which is called atmosphere. The height from Earth's surface upto which it is found is $300kms$

While filling a syringe with liquid which of the following is true for pressure inside the barrel and the atmospheric pressure acting on the liquid?

  1. pressure inside the barrel is less than atmospheric pressure

  2. pressure inside the barrel is more than atmospheric pressure

  3. pressure inside the barrel is same as atmospheric pressure

  4. none of these


Correct Option: A
Explanation:

When the plunger is pulled up in the barrel, the pressure inside the barrel is much less than atmospheric pressure. As a result atmospheric pressure forces the liquid to rise up in the syringe.

Air pressure at sea level is ________ of mercury.
  1. $6\,m$

  2. $0.36\,km$

  3. $60\,cm$

  4. $0.76\,m$


Correct Option: D
Explanation:

When air pressure is measure at the sea level using a mercury barometer, the height upto which the mercury column rises is $76cm$.

Hence the atmospheric pressure at this level is also called $0.76m$ of mercury.

Which of the following are the common consequences of atmospheric pressure in our daily life.

  1. Sucking a drink with a straw

  2. Filling a syringe with a liquid

  3. Filling ink in a fountain pen

  4. All of the above


Correct Option: D
Explanation:

Liquid flows from higher pressure region to the lower pressure region.

Thus sucking a drink with a straw, filling a syringe with a liquid and filling ink in a fountain pen are the consequences of atmospheric pressure.

Atmospheric pressure exerted on earth is due to the.

  1. Gravitational pull

  2. Revolution of earth

  3. Rotation of earth

  4. Uneven heating of earth


Correct Option: A
Explanation:

The atmospheric pressure exerted on earth is due to gravitational pull of the earth and is about 14.7 psi.

Hence, option A is correct.

A boiler is made of a copper plate 2.4mm thick with an inside coating of a 0.2mm thick layer of tin.The surface area exposed to gases at ${\rm{70}}{{\rm{0}}^{\rm{0}}}{\rm{C is 400c}}{{\rm{m}}^{\rm{2}}}$ . The amount of steam that could be generated per hour at atmospheric pressure is  ${\rm{(}}{{\rm{K}} _{{\rm{cu}}}}{\rm{ = 0}}{\rm{.9 and }}{{\rm{K}} _{{\rm{tin}}}}{\rm{ = 0}}{\rm{.15cal/cm/s}}{{\rm{/}}^{\rm{0}}}{\rm{C and }}{{\rm{L}} _{{\rm{steam}}}}{\rm{ = 540cal/g)}}$

  1. 5000kg

  2. 1000kg

  3. 4000kg

  4. 200kg


Correct Option: C

Icc of water at $ 100^o C $ is given 540 cal of heat and the steam formed accupies 167 Icc at the atmospheric pressure. Then workdone against atmospheric pressure in this process is nearly.

  1. 540 cal

  2. 500 cal

  3. 40 cal

  4. 100 cal


Correct Option: C

A partially inflated balloon expands fully when 

  1. It is put into warm water

  2. It is put into cold water

  3. It is into water at room temperature

  4. None of the above


Correct Option: D

When the pressure of water is increased, the boiling temperature of water as compared to $100^oC$ will be :

  1. lower

  2. the same

  3. higher

  4. on the critical temperature


Correct Option: C
Explanation:

(C)

The boiling point are the conditions of temperature and pressure, when the vapour pressure of the boiling liquid is EQUAL to the ambient pressure, and bubbles of vapour form directly in the liquid. 
On increasing the pressure water has to be elevated much higher temperature for its pressure to be equal to net applied pressure on it and therefore the water will boil at higher temprature

The foundations of high-rise buildings are kept wide so that they may exert more pressure on the ground.

  1. True

  2. False


Correct Option: B
Explanation:

False. Wide foundations exert lesser pressure because increase in area of contact reduces the pressure and the buildings do not sink.

Which of the following statement is NOT true.

  1. A freely falling body is acted upon by gravitational force

  2. pressure on top of mount everest is much more than 1 atm

  3. S.I. unit of pressure is pascal

  4. the blood vessels in our body maintains the internal pressure equal to the atmospheric pressure


Correct Option: B,D
Explanation:

A free falling object is an object that is falling under the sole influence of gravity.
Atmospheric pressure decreases with height above the surface of a planet because there is less total mass in the atmosphere above a reference point as the height of the reference point increases. 
The standard atmospheric pressure at sea level is 1 atmosphere.
Pressure is generally measured in units of Pascals and S.I. unit of pressure is pascal.
The normal atmospheric pressure is 760 mm of Hg. But the normal human blood pressure is around 120/80 mm only.
Answer (B) & (D) 
(B) pressure on top of mount everest is much more than 1 atm
(D) 
the blood vessels in our body maintains the internal pressure equal to the atmospheric pressure

You are riding on your bicycle with inflated tyres. Your friend asks for a lift and sits on the carrier behind you

  1. The air pressure in the tyres increases

  2. The air pressure in the tyres decreases

  3. The air pressure in the tyres remains the same

  4. Nothing inthe system changes except the reaction of the ground

  5. Answer Required


Correct Option: D
Explanation:

nothing in the system changes except the reaction of the ground.

because the friend will exert its weight on the ground and the ground will exert normal reaction to balance it.

A glass bulb is balanced by a brass weight in a sensitive beam balance. Now the balance is covered by a glass-jar which is then evacuated. Then:

  1. the beam will remain horizontal

  2. the pan containing the bulb will go down

  3. the pan containing the bulb will go

  4. none of the above


Correct Option: B
Explanation:

Given, That a glass bulb is balanced by a brass weight in a sensitive beam balance,

Now the balance is covered by a glass jar which is then evacuated.
By evacuating, there will be no air in the glass jar. so the glass bulb will be higher in mass because it contains air inside the glass bulb,
So the pan containing the bulb will go down
Therefore the correct option is $B$

If the value of atmospheric pressure is $10^6$ dyne $cm^{-2}$, its value in SI units is

  1. $10^4 N m^{-2}$

  2. $10^6 N m^{-2}$

  3. $10^5 N m^{-2}$

  4. $10^3 N m^{-2}$


Correct Option: C
Explanation:

Pressure = $\displaystyle \frac{F}{A}$ $\because 10^6$ dyne $cm^{-2} = 10^5 N m^{-2}$.

A pressure equivalent of 1 mm is called a

  1. bar

  2. torr

  3. pascal

  4. atm


Correct Option: B
Explanation:

We have,

              $1atm=760mm$ of Hg$=760torr$,
Hence, one torr is the millimeter of mercury i.e. A pressure equivalent to 1 mm.

$1  atm=Z$  pascal. Then find the value of $Z$?

  1. 760

  2. 1000

  3. 101325

  4. 10


Correct Option: C
Explanation:

$1atm$ is the standard atmospheric pressure. 

In SI units, the atmospheric pressure is $1atm=1.01325\times 10^{5}Nm^{-2}$
$=101325Pa$

One atmospheric pressure (atm)  is equal to

  1. 101325 Pa

  2. 1013.25 Pa

  3. 101.325 Pa

  4. 10.1325 Pa


Correct Option: A
Explanation:

One Pascal is the pressure exerted by a force of one newton, normally on an area of one square meter.

Atmospheric pressure is the force per unit area by the weight of air on a point.
One atmospheric pressure is related with the Pascal as:
    $1atm=101325Pa$

State the S.I. unit. of pressure

  1. Newton

  2. Pascal

  3. Coulomb

  4. Copernicus


Correct Option: B
Explanation:

Pressure is defined as force per unit area. It is usually more convenient to use pressure rather than force to describe the influences upon fluid behavior. The standard unit for pressure is the Pascal, which is a Newton per square meter.

$1Pa=1Nm^{-2}$

1 atm is

  1. 780 torr

  2. 760 torr

  3. 750 torr

  4. 790 torr


Correct Option: B
Explanation:

Both $atm$ and $torr$ is the unit of pressure.

$1atm$ is the atmospheric pressure=$1.01\times 10^5Pa$
Torr is expressed as $1 torr=\dfrac{1atm}{760}$

1 torr is equal to 

  1. 196 Pa

  2. 133 Pa

  3. 101 Pa

  4. 120 Pa


Correct Option: B
Explanation:

We have:

               $1 atm=760 torr$ ,
and         $1atm=101325Pa$ ,
hence,    $760torr=101325Pa$ 
or             $1torr=101325/760=133.3Pa$

Which of the following is/are the example(s) of absolute pressure 

  1. deep vacuum pressure

  2. altimeter pressure

  3. blood pressure

  4. both (A) & (B)


Correct Option: D
Explanation:

Absolute pressure: It uses absolute zero (pressure in vacuum) as its zero point.

Gauge pressure: It uses atmospheric pressure  as its zero point.
Therefore, Absolute pressure = Atmospheric pressure + Gauge pressure 
Blood pressure is an example of gauge pressure .
Deep vacuum pressure and altimeter pressure are examples of absolute pressure.

The correct relationship between gauge pressure, atmospheric pressure and absolute pressure is 

  1. Gauge pressure = Atmospheric pressure - Absolute pressure

  2. Gauge pressure = Atmospheric pressure + Absolute pressure

  3. Absolute pressure = Atmospheric pressure + Gauge pressure

  4. None of the above


Correct Option: C
Explanation:

Absolute pressure: It uses absolute zero (pressure in vacuum) as its zero point.

Gauge pressure: It uses atmospheric pressure  as its zero point.
Therefore, Absolute pressure = Atmospheric pressure + Gauge pressure 

If one newton force is applied to unit crossesctional area (in $m^2$)  of any subject then the amount of pressure applied is

  1. one pascal

  2. one atmospheric pressure

  3. one gauge pressure

  4. none of the above


Correct Option: A
Explanation:

Pressure is defined as force per unit area applied on a surface.

$P=\dfrac{F}{A}$ 
In SI units, pressure has unit $N/m^2$ which is equivalent to $Pa$(Pascal).

The amount by which the pressure measured in a fluid exceeds that of the atmosphere is known as 

  1. atmospheric pressure

  2. gauge pressure

  3. absolute pressure

  4. none of the above


Correct Option: B
Explanation:

Gauge Pressure uses a reference to the atmosphere around the sensor. Because the sensing element has a deflection due to a pressure change, a reference point is needed to know exactly what pressure is being measured. Pressure sensors that use gauge pressure—typically seen in PSIG, BARG, and kPaG —have some type of vent. This vent can be built in to the sensor or even through a tube in the electrical connection. The vent is positioned to use atmospheric pressure as a reference point for the sensor to measure the media. One common reason for using gauge pressure is to ensure that with any location throughout the world, the sensor will always reference the location in which it is installed.

One atmospheric pressure at sea level is equal to 760 cm of Hg.

  1. True

  2. False


Correct Option: B
Explanation:

1 atm = 76 cm of Hg 

so given statement is false 
hence option (B) is correct.

A bubble is at the bottom of a lake of depth $h$. As the bubble comes to the sea level, its radius increase three times. If atmospheric pressure is equal to $l$ metre of a water column, then $h$ is equal to

  1. $26\ l$

  2. $l$

  3. $25\ l$

  4. $30\ l$


Correct Option: A

If a given mass of gas occupies a volume of 10 cc at 1 atmospheric pressure and a temperature of ${ 100 }^{ 0 }$C (373.15 k). What will be its volume at 4 atmospheric pressure; the temperature being the same 

  1. 100 cc

  2. 400 cc

    1. cc
  3. 104 cc


Correct Option: C

A narrow glass tube, $80$ cm long and opens at both ends, is half immersed in mercury, now the top of the tube is closed and is taken out of mercury A column of mercury $20$ cm long remains in the tube. Find the atmospheric pressure

  1. $20$ cm of air column

  2. $60$ cm of Hg column

  3. $60$ cm of air column

  4. $20$ cm of Hg column


Correct Option: C

Find pressure on swimmer at a depth of $10 m$ in water

  1. $2$ atm

  2. $1$ atm

  3. $3$ atm

  4. $4$ atm


Correct Option: B

A brass scale, correct at $0^\circ C$, registers the height of a mercury barometer at 76.5 cm at $30^\circ c$. What is the actual height of the barometer? [Linear expansivity for brass=$1.9\times10^{-5} K^{-1}$]

  1. 70.88cm

  2. 72.45cm

  3. 71.25cm

  4. 76.46 cm


Correct Option: D

A barometer is carried from the $1^{st}$ floor to the $20^{th}$ floor of a building. Why does the reading on the barometer fall?

  1. Air pressure has increased

  2. Gravity has decreased

  3. Temperature has increased

  4. There is less air above the barometer


Correct Option: D
Explanation:

Answer is D.

The air pressure decreases as the we go up the atmosphere. Therefore, when a  barometer is carried from the 1st floor to the 20th floor of a building, the air pressure decreases and hence the reading on the barometer falls down.

Atmospheric pressure can be measured by which of the following instruments

  1. doctor's thermometer

  2. mercury barometer

  3. speedometer

  4. none of these


Correct Option: B
Explanation:

Speedometre is an instrument which is used to measure the speed of a vehicle.

Doctor's thermometre is used to measure the temperature of the body of the patient.
Mercury thermometre is used for measuring the atmospheric pressure.

The pressure energy per unit volume of a liquid is

  1. $ \frac {P}{\rho}$

  2. P

  3. P x $\rho$

  4. $ \frac {\rho}{P}$


Correct Option: B
Explanation:

Pressure energy per unit volume=$=\dfrac{Work done}{Volume}=\dfrac{W}{V}=\dfrac{F.d}{A.d}$

$=\dfrac{F}{A}$
$=P$

'The atmospheric pressure at a place is $76  cm$ of $Hg$? State its value in $bar$.

  1. $1.013\times{10}^{5}$ $bar$

  2. $1 bar$

  3. $1.013\times{10}^{-5}$ $bar$

  4. None


Correct Option: B
Explanation:

$1atm$ is the standard atmospheric pressure. 
In terms of length of mercury it is $76cm $ of Hg.

In SI units, the atmospheric pressure is $1atm=1.01325\times 10^{5}Nm^{-2}= 1 bar$

$1\ atm$ of pressure is equal to

  1. $1\ Torr$

  2. $\dfrac{1}{760}\ Torr$

  3. $760\ Torr$

  4. $1.013 \times 10^5\ Torr$


Correct Option: C
Explanation:

The pressure due to $760$ mm of mercury is equal to atmospheric pressure. Pressure equivalent to $1$mm of mercury is $1torr$. Hence the atmospheric pressure $1atm=760torr$.

$1\ Pa$ of pressure is equal to:

  1. $7.5 \times 10^{-3}\ Torr$

  2. $7.5 \times 10^{3}\ Torr$

  3. $760\ Torr$

  4. $1\ Torr$


Correct Option: A
Explanation:

Atmospheric pressure $=1atm=760torr=1.01\times 10^3Pa$

$\implies 1Pa=\dfrac{760}{1.01\times 10^5}torr=7.5\times 10^{-3}torr$

A measurement referenced to the atmospheric pressure and it varies from the measurement of barometric reading and manometer reading is called as 

  1. gauge pressure

  2. absolute pressure

  3. atmospheric pressure

  4. none of the above


Correct Option: A
Explanation:

Absolute pressure: It uses absolute zero (pressure in vacuum) as its zero point.

Gauge pressure: It uses atmospheric pressure  as its zero point.
Therefore, Absolute pressure = Atmospheric pressure + Gauge pressure
A barometer reads the atmospheric pressure and a manometer reads absolute pressure (when closed from one end), therefore a measurement referenced to the atmospheric pressure varying from barometer reading and manometer is called as gauge pressure.

A pressure equivalent to 1 mm of mercury is called 

  1. 1 torr

  2. 1 bar

  3. 1 pascal

  4. 1 atm


Correct Option: A
Explanation:

The pressure at the bottom of $760 mm$ of mercury is equal to atmospheric pressure.

Also, $1atm=760torr$
Hence, $1torr$ pressure and $1mm$  of mercury are equivalent.

1 pascal (Pa) is equal to 

  1. $1 \times 10^{5} $ bar

  2. $1 \times 10^{3} $ bar

  3. $1 \times 10^{-3} $ bar

  4. $1 \times 10^{-5} $ bar


Correct Option: D
Explanation:

We have,

               $1 atm=1\times10^{5}Pa$ ,
and         $1atm=1bar$ ,
hence,   $1bar=1\times10^{5}Pa$ 
or            $1Pa=1\times10^{-5}bar$

$1\ Torr$ of pressure is equal to:

  1. $133\ Pa$

  2. $13\ Pa$

  3. $1\ Pa$

  4. none of these


Correct Option: A
Explanation:

Atmospheric pressure $=1atm=1.01\times 10^5Pa=760torr$

$\implies 1torr=\dfrac{1.01\times 10^5}{760}Pa$$=133Pa$ 

Increase in height of mercury column indicates:

  1. decrease in atmospheric pressure

  2. increase in atmospheric pressure

  3. no change in atmospheric pressure

  4. increase in humidity in air


Correct Option: B
Explanation:

The pressure at the bottom of mercury column tries to equate the atmospheric pressure outside. 
When the compensating height of mercury column increases, it means that the atmospheric pressure has indeed increased.

Fill in the blanks:
1 psi is equivalent to $-$ atmospheric pressure.

  1. $34.046\times 10^{-3}$

  2. $64.046\times 10^{-6}$

  3. $24.046\times 10^{-3}$

  4. $68.046\times 10^{-3}$


Correct Option: D
Explanation:

Psi stands for pound force per square inch. 

Normal atmospheric pressure is 14.7psi.
         $14.7psi=1$ atmospheric pressure

         $1psi=68.027\times10^{-3}atm$

$1\ Bar$ of pressure is equal to:

  1. $1\ kPa$

  2. $10\ kPa$

  3. $100\ kPa$

  4. $1000\ kPa$


Correct Option: C
Explanation:

Atmospheric pressure $=1atm=1.01\times 10^5Pa=1.01bar$

$\implies 1bar=10^5Pa=100kPa$

In free space, Fortin's barometer will read:

  1. $0\ mm$ of Hg

  2. $76\ cm$ of Hg

  3. $1\ cm$ of Hg

  4. None of these


Correct Option: A
Explanation:

Fortin's barometer is a modified form of Torricelli's barometer which is used to measure atmospheric pressure. In free space there is no matter (no atmosphere) therefore no atmospheric  pressure hence barometer will read 0mm of Hg .

The pressure of a gas filled in the bulb of constant volume gas thermometer at $0^0C$ and $100^0C$ are 28.6 cm and 36.6 cm of mercury respectively. The temperature of bulb at which pressure will be 35.00 cm of mercury will be:

  1. $80^0C$

  2. $70^0C$

  3. $55^0C$

  4. $40^0C$


Correct Option: A
Explanation:

from$T=\dfrac{p-p _0}{p _{100}-p _0}\times 100^0=\dfrac{35-28.6}{36.6-28.6}\times 100^0=80^0$

The pressure of a gas filled in the bulb of a constant volume gas thermometer at $0^o$C and $100^o$C are $28.6cm$ and $36.6cm$ of mercury respectively. The temperature of bulb at which pressure will be $35.0cm$ of mercury will be 

  1. $80^o$C

  2. $70^o$C

  3. $55^o$C

  4. $40^o$C


Correct Option: A
Explanation:
In a constant volume gas thermometer, the pressure of the gas varies in proportion to the temperature of the gas. The temperature varies linearly wrt to the pressure and vice versa.

 So the formula is:   $ T = \dfrac{(P - P _{0})}{(P _{100} - P _{0})}\times 100^\circ C$

     Where $T$ is the temperature at pressure $P$.
                $P _0$ is pressure at $T _0 = 0^\circ C$ 
             and $P _{100}$ is pressure at $T _{100} = 100⁰C$
                 
   $T = \dfrac{(35.0 - 28.6)}{(36.6 - 28.6)}  \times 100 ^\circ C$  
     
$  = 80^\circ C$

The height of mercury in a barometer is $760\ mm$, then the atmosphere pressure is $[g=9.8\ {m/s}^{2}]$:

  1. $0.101\times {10}^{5}Pa$

  2. $10.1\times {10}^{5}Pa$

  3. $1. 01\times {10}^{5}Pa$

  4. $1.01\times {10}^{4}Pa$


Correct Option: C
Explanation:

$P=\rho gh=13600\times 9.8\times 0.760=1.01\times 10^5Pa$


Two communicating cylindrical vessel contain mercury. The diameter of one vessel is n times larger than the diameter of the other.A column of water of height h is poured into the vessel.The mercury level will rise in the right - hand vessel (s=relative density of mercury and p = density of water ) by 

  1. $ \frac { n^ h }{ (n\quad +\quad 1)^ 2s } $

  2. $ \frac { h }{ (n^ 2\quad +\quad 1)s } $

  3. $ \frac { h }{ (n\quad +\quad 1)^ 2s } $

  4. $ \frac { h }{ (n^{ 2 }s) } $


Correct Option: B
Explanation:

It is given that the diameter of one vessel is n times larger than the diameter of other. So,

$ \pi {{r}^{2}}{{h} _{1}}=\pi {{(nr)}^{2}}{{h} _{2}} $

$ {{h} _{1}}={{n}^{2}}{{h} _{2}} $

Since, pressure at point A is equal to pressure at B

$ \rho gh=({{h} _{1}}+{{h} _{2}})\rho 'g $

$ \because s=\dfrac{\rho '}{\rho } $

$ \rho gh=({{n}^{2}}{{h} _{2}}+{{h} _{2}})s\rho g $

$ {{h} _{2}}=\dfrac{h}{({{n}^{2}}+1)s} $

A thin tube sealed at both ends, is $100\ cm$ long. It lies horizontally, the middle $0.1\ m$ containing mercury and the two ends containing air at standard atmospheric pressure. If the tube is turned to a vertical position, by what amount will the mercury be displaced ?

  1. $1.84\ cm$

  2. $8.45\ cm$

  3. $2.95\ cm$

  4. $5\ cm$


Correct Option: C

A barometer tube reads $76$ $cm$ of mercury. If the tube is gradually inclined at an angle of $60 ^ { \circ }$ with vertical, keeping the open end immersed in the mercury reservoir, the length of the mercury column will be  

  1. $152 \mathrm { cm }$

  2. $76 \mathrm { cm }$

  3. $\dfrac{76cm}{sin30^o}$

  4. $38 \mathrm { cm }$


Correct Option: B

2.56g of sulphur (colloidal sol) in 100 ml solution shows Osmotic pressure of 2.463 atm at ${ 27 }^{ 0 }C$. How many sulphur atoms are associated in colloidal sol ? [Solution constant = 0.0821 atm.${ mol }^{ -1 }{ k }^{ -1 }$]

  1. 2

  2. 4

  3. 5

  4. 8


Correct Option: C

The temperature of an air bubble while rising from bottom to surface of a lake remains constant but its diameter is doubled if the pressure on the surface is equal to h meter of mercury column and relative density of mercury is p then the depth of lake in metre is

  1. $2\rho h$

  2. $4\rho h$

  3. $8\rho h$

  4. $7\rho h$


Correct Option: D

The pressure of water at bottom in a lake is 3/2 times that at half depth where the water barometer reads $10$ m. The depth of the lake is:

  1. $15$ m

  2. infinite

  3. $20$ m

  4. $10$ m


Correct Option: C
Explanation:

Let the point at half depth be $x,$

$P _1=P+dgx$

Let the depth of lake be $2x$,

$P _2=P+dg2x$

$P _2=3/2×P1$

$2P _2=3P1$

$2 (P+dg2x)=3 (P+dgx)$

$2P+4dgx=3P + 3dgx$

$P=dgx$

$x=P/dg$

$x=10^5/10000 (d=10^3kg/m^3) (P=10^5pa)$

But depth of lake is $2x$

$2x=2×10=20m$

Two communicating vessels contain mercury. The diameter of one vessel is four times larger than the diameter of the other. A column of water of height $h _0=70$ cm is poured into the left hand vessel (the narrower one). How much will be mercury level rise in the right hand vessel? ( Specific density of mercury= $13.6$)

  1. $0.3$ cm

  2. $0.7$ cm

  3. $0.1$ cm

  4. $1.0$ cm


Correct Option: D

The height of mercury $(h)$ in the manometer is

  1. $760\ mm$

  2. $172\ mm$

  3. $272\ mm$

  4. $300\ mm$


Correct Option: D
Explanation:
The height of mercury (h) in the manometer is $0.30 m$
Hence,
Option $D$ is correct answer.

8 gm $O _{2}$,14 gm $N _{2}$ and 22 gm $CO _{2}$ is mixed in a container of 10 litre capacity at $27^oC$.The pressure exerted by the mixture in terms of atmospheric pressure will be-

  1. 1

  2. 3

  3. 9

  4. 18


Correct Option: C

Suppose the density of air at Hyderabad is $\rho _ { 0 }$ and atmospheric pressure is $P _ { \mathrm { atm } }$.Suppose we wish to calculate the pressure $P$ at a height $10 \mathrm { km }$ above Hyderabad. If we use the equation $P _ { 0 } - P = \rho g z$ to calculate $P$ with $z = 10 km$. But if we take only variation of $\rho$ with height we get $P _1$. if we take only of $g$ with height we get $P _2$, if we take both $\rho$ and $g$ variations with height we get $P _3$. Then 

  1. $P = P _ { 1 } = P _ { 2 } = P _ { 3 }$

  2. $P _ { 3 } < P _ { 1 }$

  3. $P _ { 2 } > P$

  4. $P _ { 0 } - P > P _ { 0 } - P _ { 3 }$


Correct Option: C

An air bubble doubles its radius on rising from the bottom of water reservoir to the surface of water in it. If the atmospheric pressure is equal to $10 m $ of water, the height of water in the reservation s- 

  1. $ 10m $

  2. $20 m$

  3. $70 m$

  4. $80 m$


Correct Option: C

A cubical block of steel each side '$\ell $' is floating in mercury in a vessel. The densities of steel and mercury are ${ p } _{ s }\quad and\quad { p } _{ m }$ .The height of block above the mercury level is given by.

  1. $\ell \left( 1+\dfrac { { p } _{ s } }{ { p } _{ m } } \right) $

  2. $\ell \left( 1-\dfrac { { p } _{ s } }{ { p } _{ m } } \right) $

  3. $\ell \left( 1+\dfrac { { p } _{ m } }{ { p } _{ s } } \right) $

  4. $\ell \left( 1-\dfrac { { p } _{ m } }{ { p } _{ s } } \right) $


Correct Option: B

A flask of volume $10^3cc$ is completely filled with mercury at $0^oC.$ The co-efficient of cubical expansion of mercury is $180\times10^{-6} /^oC$ at that of glass is $40\times10^{-6}/^oC.$ If flask is placed in boiling water at $100^oC,$ how much mercury will overflow   

  1. $7cc$

  2. $14cc$

  3. $21cc$

  4. $28cc$


Correct Option: B

Positive and negative ions are produced in the atmosphere due to cosmic rays from space and also due to radioactive element in the soil . in some region in the atmosphere the electric field strength is 100 V/m in the vertically downwaeds direction. This field exerts force on the positive and negative ions in the given region in atmosphere . as a result, positive ions , having a density $ 500/cm^3 $ drift downward while negative ions , havig a density $ 300/cm^3 $ drift upward al these ions are singly charged. it is observed that the conductivity in the given region is $ 4 \times 10^{-13} $ $ (\Omega -m)^{-1} $ . find the average speed of ions, assuming it to be the same for positive and negative ions.

  1. $1.3 m/s$

  2. $0.31 m/s$

  3. $0.93 m/s$

  4. $1.6 m/s$


Correct Option: D

An air tight container having a lid with negligible mass and a area of $8 c m^{2}$ is partially evacuated . If a 40N force is require to pull a lid off the container and the atmospheric pressure is $ 1.0 \times 10^{5} \mathrm{Ps}$ ,the presure in the container before it is opened must be

  1. 0.6atm

  2. 0.5atm

  3. 0.4atn

  4. 0.2atm


Correct Option: C
Explanation:
The pressure inside the container must be equal to the pressure developed by force applied and the atmospheric force would oppose the pull,

So,

$P _{external}=P _{inside}+P _{atmosphere}$

$=\dfrac{48}{0.008}=P _{inside}+1\times 10^5$

$P _{inside}=0.6\times 10^5-1\times 10^5$

$P _{inside}=-0.4\times 10^5\,Ps=0.4\,atm$

What should be the minimum volume of the room, if no liquid water is be  present finally in the room ? 

  1. 166.671

  2. 16.671

  3. 166.67 $m^{3}$

  4. 16.67 $m^{3}$


Correct Option: D

A gas is collected over the water at $25 ^ { \circ } \mathrm { C }$ . The total pressureof moist gas was 735$\mathrm { mm }$ of mercury. If the aqueous vapourpressure at $25 ^ { \circ } \mathrm { C }$ is 23.8$\mathrm { mm }$ . Then the pressure of dry gas is

  1. $760$ $\mathrm { mm }$

  2. $758.8$ $\mathrm { mm }$

  3. $710.8$ $\mathrm { mm }$

  4. $711.2$ $\mathrm { mm }$


Correct Option: D

20$\mathrm { cm }$ containing mercury and two equal ends containing air at standardatmospheric prossure. If the tube is now turned to a vertical position, by what amount will the mercury bo displaced?
(Given : cross-section of the tube can be assumed to be uniform):

  1. 2.95$\mathrm { cm }$

  2. 5.18$\mathrm { cm }$

  3. 8.65$\mathrm { cm }$

  4. 0.0$\mathrm { cm }$


Correct Option: A

The height of mercury column in a simple barometer is h. As the tube is inclined to the vertical at an angle $  \alpha,  $ the length of mercury column along the length of the tube is l; then:

  1. $ 1=\frac{h}{\cos \alpha} $

  2. $ 1=h \cos \alpha $

  3. $ I=h $

  4. $ 1=\cos \alpha / h $


Correct Option: A

A small bulb is filled with air at ${ 41 }^{ 0 }c$ and sealed. When it heated slowly in an oil bath upto ${ 198 }^{ 0 }c$, it is found to be broken. find the pressure at which the bulb is broken.

  1. 2.5 atm

  2. 1.5 atm

  3. 3 atm

  4. 1.3 atm


Correct Option: C

If the intensity of the incident radio wave of  $1\mathrm { w } / \mathrm { w } ^ { 2 }$  is reflected by the surface, find the pressure exerted on the surface?

  1. $5.67 \times 10 ^ { - 9 } N / m ^ { 2 }$

  2. $6.67 \times 10 ^ { - 9 } N / m ^ { 2 }$

  3. $8.67 \times 10 ^ { - 9 } N / m ^ { 2 }$

  4. $9.67 \times 10 ^ { - 8 } \mathrm { N } / \mathrm { m } ^ { 2 }$


Correct Option: B
Explanation:

For reflecting surface, Pressure

$\begin{array}{l} =\frac { { 2F } }{ C }  \ =\frac { { 2\times 1 } }{ { 3\times { { 10 }^{ 8 } } } } =6.67\times { 10^{ -9 } }N/{ m^{ 2 } } \ Ans.\, \, (B) \end{array}$

Which limb of the tube should be connected to the pump?

  1. Limb having radius 2 mm

  2. Limb having radius 1 mm

  3. Any of the climb

  4. None of these


Correct Option: A

A balloon contains  1500 $m^{3}$  of helium at $27^{\circ}C$   and 4 atmoshperic  pressure.  The volume of helium at $3^{\circ}C$  temperature and 2  atmospheric pressure will be 

  1. 1500 $m^{3}$

  2. 1700 $m^{3}$

  3. 1900 $m^{3}$

  4. 2700 $m^{3}$


Correct Option: C

To increase pressure, either force has to be increased or area of contact has to be decreased.

  1. True

  2. False


Correct Option: A

By sucking through a straw, a student can reduce the pressure in his lungs to $750 mm$ of Hg (density = $\displaystyle 13.6{ gm }/{ { cm }^{ 3 } }$). Using the straw, he can drink water from a glass upto a maximum depth of: 

  1. $10 cm$

  2. $75 cm$

  3. $13.6 cm$

  4. $1.36 cm$


Correct Option: C
Explanation:

Pressure difference created $= 10 mm$ of Hg 
This must be equal to the pressure of water column being created in the straw. If height of water column be $h$

$h \rho g = \dfrac{10}{10} \times 13.6 g$
$hg \times 1 = 13.6 g$
$h = 13.6 cm$

$1$ millibar is equal to a pressure of

  1. ${10}^{5}pa$

  2. $100pa$

  3. $1000pa$

  4. ${10}^{-3}pa$


Correct Option: B
Explanation:

We know that $1$ bar $= 10^5 Pa$

So, $1$ millibar $=10^{-3}$ bar $=10^{-3}\times 10^5 Pa=100 Pa$

One gram mole of oxygen is enclosed in a vessel at a temperature of $27$ and at one atmospheric pressure. The vessel is thermally insulated and is moved with a constant speed $u _0$. Calculate $u _0$ if the rise in temperature is $1K$ when the vessel is suddenly stopped?

  1. $35.6 m/s$

  2. $45 m/s$

  3. $90 m/s$

  4. $60 m/s$


Correct Option: B
Explanation:

since internal energy depends only on the temperature ,

as the temperature changes,
the change in internal energy is
$\Delta U= \dfrac{nfR \Delta T}{2}$

vessel contains a gas of mass M,
change in kinetic energy $= \dfrac{nMv^2}{2}$

$\dfrac{nfR \Delta T}{2}$= $\dfrac{nMv^2}{2}$

$\dfrac{2}{\dfrac{c _p}{c _v} - 1}$

$f = \dfrac{2}{\dfrac{2}{5}}$ = 5

putting value

$v = 45 m/s$

What will be the pressure in pascal due to a mercury column of $76$cm. Density of mercury is $13.6$ g$cm^2$, $g=980$ cm$s^2$?

  1. $1.0129\times 10^5$Pa

  2. $1.0129\times 10^4$Pa

  3. $1.0129\times 10^3$Pa

  4. $1.0129\times 10^2$Pa


Correct Option: A
Explanation:

 h$=76cm$

Pressure=?

Formula to be used : $P=hgd$

Where h = height of mercury column and

 d= density of mercury$=13.6 gm/cc$

acceleration due to gravity$=980 cm/s²$

$P=hgd=13.6\times 980\times 76=1012928dyne.cm²$

The height of the mercury column in a simple barometer is $h$. As the tube is inclined with the vertical at an angle $\alpha$, the length of the mercury column along the length of the tube will become:

  1. $h\cos{\alpha}$

  2. $\dfrac{h}{\cos{\alpha}}$

  3. $h\sin{\alpha}$

  4. $\dfrac{h}{\sin{\alpha}}$


Correct Option: B

Barometer was constructed by

  1. Vermicelli

  2. Torricelli

  3. Archimedes

  4. Newton


Correct Option: B
Explanation:

Barometer is a device used to measure atmospheric pressure. It was first constructed by Torricellli in the year 1643.

At sea level, the vertical height of mercury supported in the tube of simple barometer is ______ $cm$ above the mercury level in the bowl.
  1. $36$

  2. $76$

  3. $100$

  4. $7$


Correct Option: B
Explanation:

The height to which mercury rises in simple barometer is $76cm$.

This is the reason that  atmospheric pressure is often expressed as $76cm$ of Hg at sea level.

Length of glass tube in simple barometer is
  1. $100\,mm$

  2. $1\,cm$

  3. $100\,cm$

  4. $1\,mm$


Correct Option: C
Explanation:

A mercury barometer has a glass tube, of length approximately 100cm, closed at one end with an open mercury-filled reservoir at the base. 

The vacuum created in simple barometer is known as __________ vacuum
  1. Newton's

  2. Barometric

  3. Torricellian

  4. Archimedes


Correct Option: C
Explanation:

A simple barometer or a mercury barometer has a glass tube closed at one end with an open mercury-filled reservoir at the base. The weight of the mercury creates a vacuum in the top of the tube known as Torricellian vacuum. 

The liquid used in simple barometer is

  1. Glycerine

  2. Kerosene

  3. Mercury

  4. Halogen


Correct Option: C
Explanation:

A mercury barometer, or a simple barometer, has a glass tube, of length approximately 100cm, closed at one end with an open mercury-filled reservoir at the base. The weight of the mercury creates a vacuum in the top of the tube known as Torricellian vacuum. Mercury in the tube adjusts until the weight of the mercury column balances the atmospheric force exerted on the reservoir. High atmospheric pressure places more force on the reservoir, forcing mercury higher in the column. Low pressure allows the mercury to drop to a lower level in the column by lowering the force placed on the reservoir. 

- Hide questions