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Measuring Mass - class-XI

Description: measuring mass,physical quantities and measurement, nature of the physical world and ,measuring instrument, measurements and units,forces and motion.
Number of Questions: 86
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Tags: physical quantities and measurement nature of the physical world and measurement measurement and measuring instrument measurements and units physics forces and motion
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In a physical balance, when the beam is released with empty pans, the successive left and right turning points are obtained as 5; 6, 6 and 18, 18 respectively. After placing the substance whose mass is to be determined and when beam is released, the resting point obtained is 13. When 10 mg is added to the pan, the resting point is obtained as 11. If the mass at LRP is 60 g, the correct mass of the body corrected to a milligram is ______ g. 

  1. 59.996

  2. 56.5

  3. 59.99

  4. 56.599


Correct Option: A

State whether true or false.
The pointer of a spring balance will read zero when there is no load on the pan.

  1. True

  2. False


Correct Option: A
Explanation:

If no lead is applied to the spring balance, there will be no extension in the spring and hence the pointer will read zero in the spring balance. Thus the given statement is true.

The weight placed on the pan is a balance when HRP is obtained is 47.86 g. The difference between ZRP and HRP of the physical balance is 3. When 10 mg is added in its pan, the difference between HRP and LRP is obtained as 5. Determine the most accurate mass of the body.

  1. 478.672 g

  2. 34.73 g

  3. 47.866 g

  4. 47.532 g


Correct Option: C

A beam balance is used to measure the ________ of a body.

  1. weight

  2. mass

  3. force

  4. shape


Correct Option: B
Explanation:

A beam balance is used to measure the mass of the body precisely.

A knob at the baseboard can be used to raise or lower the _____of the physical balance

  1. beam

  2. weight 

  3. mass

  4. none


Correct Option: A

A spring balance gives the measure of the mass of a body. True or false.

  1. True

  2. False


Correct Option: B
Explanation:

Spring balance gives the measure of the weight of the body. Thus the given statement is false.

Point out the odd one out of the following
beam balance, spring balance,  physical balance 

  1. Spring balance

  2. Beam Balance

  3. Physical Balance

  4. None


Correct Option: A
Explanation:

Spring Balance is used to measure weight others used to measure mass

Name a common device, among the following, used to measure the weight of a body.

  1. Spring balance

  2. Beam balance

  3. Rheostat

  4. Potentiometer


Correct Option: A
Explanation:

Spring balance measures the weight of the body.

Name a common device, among the following, used to measure mass of a body.

  1. Physical balance

  2. Spring balance

  3. Barometer

  4. Speedometer


Correct Option: A
Explanation:

Physical balance is used to measure the mass of the body. Spring balance measures the weight of the body, barometer measures the pressure exerted by the gas and speedometer measures the speed of the vehicle.

Select the odd one out (mass, beam balance, kilogram, spring balance)

  1. beam balance

  2. mass

  3. spring balance

  4. kilogram


Correct Option: C
Explanation:

Beam balance is used to determine the mass of the body and kilogram is the SI unit of mass. Whereas spring balance is used to determine the weight of the body. Thus spring balance is the odd one out.

weight can be found by using a physical balance

  1. True

  2. False


Correct Option: A

Mass is found by using a beam/spring balance.

  1. True

  2. False


Correct Option: A

State whether true or false.
Physical balance is used to measure the weight of a body.

  1. True

  2. False


Correct Option: B
Explanation:

Physical balance is used to measure the mass of the body whereas spring balance is used to measure the weight of the body. Thus the given statement is false.

A simple balance can measure small masses accurately.

  1. True

  2. False


Correct Option: A
Explanation:

The given statement is true that a simple pendulum can be used to measure small masses accurately.

Before using the beam balance why is the beam raised gently by raising the platform?

  1. To make one side of the beam balance heavy

  2. To ensure that the pointer swings equally on both sides of the zero mark on scale

  3. Both

  4. None


Correct Option: B
Explanation:

Before using the balance, the plumb line is brought just above the pointed projection by adjusting the levelling screws at the base. The beam is then raised gently by raising platform $F$ using the lever and it is ensured that the pointer swings equally on both sides of the zero mark on scale, otherwise it is adjusted with the help of screw nuts. The beam is now lowered and the given object is placed on the left pan. The maximum approximate weight is placed on the right pan from the weight box with the help of forceps.

Then the lever is turned towards right so that the beam rises and the pointer begins to swing on either side. The side (left or right) to which the pointer moves more,

indicates less weight on that side. The standard weights are adjusted till the pointer either remains at the zero mark of scale or it swings equally on both sides of the zero mark. In this position, the total mass of weights on the right pan gives the mass of object.

The beam should be _________ each time before adding or removing weights from the pan.

  1. raised

  2. lowered

  3. Both

  4. None


Correct Option: B
Explanation:

The beam should be lowered each time before adding or removing weights from the pan. The weight should be replaced into the weight box after weighting. The lever should be turned gently, in order to prevent the knife edges from chipping.

Which of the following is a correct about precautions to be taken while using beam balance?

  1. The weights should be carried with foreceps

  2. They should not be carried with bare fingers to avoid the change in its weight due to the presence of moisture and dust particles

  3. Wet and hot objects should not be kept on the pan

  4. All of the above


Correct Option: D
Explanation:

Precaution taken while using beam balance. The weights should be carried with forceps. They should not be carried with bare fingers to avoid the change in its weight due to the presence of moisture and dust particles. Wet and hot objects should not be kept on the pan. When near the actual weight, the weights should always be tried in the descending order.

The beam should be lowered each time before adding or removing weights from the pan. The weight should be replaced into the weight box after weighing.

The lever should be turned gently, in order to prevent the knife edges from chipping.

Which of the following is not correct precaution taken while using beam balance?

  1. When near the actual weight, the weights should always be tried in the descending order

  2. The beam should be lowered each time before adding or removing weights from the pan

  3. The weights should be replaced into the weight box after weighting

  4. None


Correct Option: D
Explanation:

Precaution taken while using beam balance. The weights should be carried with forceps. They should not be carried with bare fingers to avoid the change in its weight due to the presence of moisture and dust particles. Wet and hot objects should not be kept on the pan. When near the actual weight, the weights should always be tried in the descending order.

The beam should be lowered each time before adding or removing weights from the pan. The weight should be replaced into the weight box after weighting.

The lever should be turned gently, in order to prevent the knife edges from chipping.

Which of the following is/are correct condition(s) for a True Balance?

  1. Both arms must be of equal lengths

  2. Both pans must be of equal weights

  3. Both A and B

  4. None of A and B


Correct Option: C
Explanation:

A balance to the true, must satisfy the following two conditions:
1. Both arms must be of equal lengths, and
2. Both pans must be of equal weights.

The weights should be tried in descending order, for a beam balance, when we are :

  1. near the actual weight

  2. far from the actual weight

  3. measuring any weight as a constant practice

  4. making a rough estimation of the actual weight


Correct Option: A
Explanation:

Using a beam balance, when we are near the actual weight, the weights should always be tried in the descending order.

Identify the correct statement for measuring weight using a beam balance:

  1. When near the actual weight, weights should be tried in decreasing order

  2. The beam should be lowered before adding or removing weights from the pan

  3. Both A and B are true

  4. Neither A nor B is true


Correct Option: C
Explanation:

Precautions in using a beam balance: 
1. The weight should be replaced into the weight box after weighing. 
2. Wet and hot objects should not be kept on the plan. 
3. When near the actual weight ,weights should be tried in decreasing order. 
4. The beam should be lowered before adding or removing weights from the pan. 
5. The lever should be turned gently ,in order to prevent the knife edges from chipping.

So, both the given statements are true.

Identify the wrong way of handling a beam balance:

  1. The lever should be turned fast in order to prevent the knife edges from chipping

  2. The weight should be replaced into the weight box after weighing

  3. Wet and hot objects should not be kept on the plan

  4. When near the actual weight ,weights should be tried in decreasing order


Correct Option: A
Explanation:

The lever should not be turned fast. It should be turned gently. 
Meanwhile, let us look at all the precautions in using a beam balance: 
1. The weight should be replaced into the weight box after weighing. 
2. Wet and hot objects should not be kept on the plan. 
3. When near the actual weight ,weights should be tried in decreasing order. 
4. The beam should be lowered before adding or removing weights from the pan. 
5. The lever should be turned gently in order to prevent the knife edges from chipping.

While using a beam balance, if we do not turn the lever gently,

  1. the knife edges will be chipped

  2. the lever will break

  3. the beam will break

  4. nothing will happen


Correct Option: A
Explanation:

The lever should be turned gently in order to prevent the knife edges from chipping.

Wet objects should not be kept on the pan as :

  1. the weight measured will be more than actual

  2. the weight measured will be less than actual

  3. the weight measured will be same as actual

  4. the pan may break down


Correct Option: A
Explanation:

If a wet object is kept on the pan of a beam balance, the weight measured will be more than usual.

The weights in a beam balance should not be carried with bare fingers

  1. to avoid change in weight due to moisture and dust

  2. to avoid change in weight due to chemical reactions

  3. just to make use of the forceps

  4. to avoid dropping of weights on the pan


Correct Option: A
Explanation:

The weights for a beam balance should be carried with forceps. Those should not be carried with bare fingers to avoid the change in the weight due to  the presence of moisture and dust particles.

Fill in the blank:
In a beam balance, the beam should be ______ before adding or removing weights from the pan.

  1. raised

  2. lowered

  3. held horizontal

  4. held vertical


Correct Option: B
Explanation:

The beam, in a beam balance, should be lowered before adding or removing weights from the pan.

Mark the correct statement regarding to beam balance.

  1. The physical balance consists of a light and rigid beam of brass, a metallic pillar, a wooden base, two pans, a metallic pointer, and an ivory scale

  2. The device is enclosed in a box to avoid the effect of wind

  3. A weight box containing standard weights comes with the balance

  4. All of the above


Correct Option: D
Explanation:

The physical balance consists of a light and rigid beam of brass, a metallic pillar, a wooden base, two pans, a metallic pointer, and an ivory scale.

The device is enclosed in a box to avoid the effect of wind. A weight box containing standard weights comes with the balance. The mass of a body is found by placing the body in one pan, placing some standard weights in the other, and then calculating it from the standard weights placed and the resting point of the pointer.

When we are near to getting the actual weight in a beam balance, standard weights should be tried in :

  1. decreasing order

  2. increasing order

  3. either increasing or decreasing order

  4. at random


Correct Option: A
Explanation:

When we are near to getting the actual weight in a beam balance, standard weights should be tried in decreasing order.
Meanwhile, let us look at the precautions in using a beam balance: 
1. The weight should be replaced into the weight box after weighing. 
2. Wet and hot objects should not be kept on the plan. 
3. When near the actual weight ,weights should be tried in decreasing order. 
4. The beam should be lowered before adding or removing weights from the pan. 
5. The lever should be turned gently ,in order to prevent the knife edges from chipping.

Objects measured in beam balance should be

  1. hot and wet

  2. hot but not wet

  3. wet but not hot

  4. neither hot nor wet


Correct Option: D
Explanation:

While weighting an object using a beam balance, it should be ensured that the object is neither wet nor hot.
Meanwhile, let us look at all the precautions in using a beam balance: 
1. The weight should be replaced into the weight box after weighing. 
2. Wet and hot objects should not be kept on the plan. 
3. When near the actual weight ,weights should be tried in decreasing order. 
4. The beam should be lowered before adding or removing weights from the pan. 
5. The lever should be turned gently ,in order to prevent the knife edges from chipping.

An object is weighed in the following places using a spring balance. In which place will it weigh the heaviest?

  1. On the Moon

  2. At the equator

  3. At the pole

  4. In outer space


Correct Option: C
Explanation:
Acceleration due to gravity $g$ is the largest at the pole of the earth.
Weight of the object $W = mg$
$\implies$ $W\propto g$
Thus the object will weigh the heaviest at the pole of the earth

Which of the following devices are used for the measurement of mass?

  1. Simple pendulum

  2. Beam balance

  3. Electroscope

  4. Microscope


Correct Option: B
Explanation:

option B is correct 

As simple pendulum is used for measuring time period 
and electroscope and microscope are used to see very tiny particles

Burette and Pipette are used to measure mass

  1. True

  2. False


Correct Option: B
Explanation:
Burette and pipette are the volumetric glassware that are used to measure the volume of liquids (or solutions) mostly in chemistry laboratory. On the other hand mass is the amount of matter in an object which most commonly measured using balance.
Hence, given statement is false.

Which of the following should not be weighed directly in contact with a balance pan?

  1. glass

  2. ceramics

  3. laboratory chemicals

  4. metal objects


Correct Option: C
Explanation:

balance pan can be used to measure the weight of glass, ceramics as well as metal object but it cannot be used to measure the weight of laboratory chemicals directly as the chemicals can react with the base of pan. Also, weight measurement of the chemicals used need to be very accurate, of teh order of milligram as well, which cannot be done with balance pan.

Which of the following is not conducive to an accurate measurement of mass on a beam balance?

  1. Isolated surroundings

  2. Still air

  3. Air currents

  4. None of these


Correct Option: C
Explanation:

Air currents is not conducive to an accurate measurement of mass on a beam balance.

The weights should be carried with forceps to :

  1. avoid impressing fingerprints on the weights

  2. avoid heat exchange

  3. avoid the change in its weight due to the presence of moisture and dust particles

  4. none of these


Correct Option: C
Explanation:

The weights should be carried with forceps to avoid the change in its weight due to the presence of moisture and dust particles.

The humidity of air surrounding the balance installation should be :

  1. zero

  2. high

  3. it doesn't matter

  4. low


Correct Option: D
Explanation:

The humidity of air surrounding the balance installation should be low.

The temperature of the objects placed on either pans of the beam balance should be :

  1. different

  2. same

  3. room temperature

  4. the respective freezing points


Correct Option: C
Explanation:

The temperature of the objects placed on either pans of the beam balance should be room temperature.

The lever should be turned gently, in order to :

  1. ensure that the motion is smooth and quiet

  2. prevent the knife edges from chipping

  3. avoid any jerk on the balance

  4. none of these


Correct Option: B
Explanation:

The lever should be turned gently in order to prevent the knife edges from chipping.

The mass at the resting point gives the correct mass of the body, : 

  1. if the resting point of a physical balance coincides with the zero resting point

  2. if the resting point of a physical balance coincides with a non-zero resting point

  3. if the resting point of a physical balance is tilted

  4. none of these


Correct Option: A
Explanation:

The mass of the resting point gives the correct mass of the body if the resting point of a physical balance coincides with the zero resting point.

A balance to the true, must satisfy this condition: 

  1. Both arms must be of equal lengths.

  2. Both arms must be made of same material.

  3. Both arms must be of same colour.

  4. Both pans must be of same mass.


Correct Option: A,B,D
Explanation:

The conditions that a true balance must satisfy are that both arms must have equal lengths made up of same material and mass of the both pans must be same. Colour of arms has nothing to do with the measurement of mass.

Which type of objects should not be kept on the pan?

  1. Wet

  2. Dry

  3. Cold

  4. Hot


Correct Option: A,D
Explanation:

Only dry and cold objects must be kept on the pan while wet and hot objects are not kept on the pan.

State whether given statement is True or False.
When a weight is hung on a spring, the spring's extension is proportional to the weight.

  1. True

  2. False


Correct Option: A
Explanation:

Spring balance is used to measure the weight of the object. To do so, the object is hung on the spring which in result stretches the spring. The spring's extension is proportional to the weight which gives the weight of the object.

Which physical quantity is measured using Spring Balance?

  1. Mass

  2. Weight

  3. Density

  4. Volume


Correct Option: B
Explanation:

Spring balance is used to measured the weight of the substance.

The final position of a pointer of a spring balance gives :

  1. Mass of the object

  2. Weight of the object

  3. Volume of the object

  4. Density of the object


Correct Option: B
Explanation:

Spring balance is used to measure the weight of the object. The final position of a pointer of a spring balance gives the weight of the object.

State whether given statement is True or False.
Under no-load condition, the pointer of the spring balance must point at the zero mark of the scale. 

  1. True

  2. False


Correct Option: A
Explanation:

The above statement is true that the pointer of the spring balance must point at the zero mark of the scale when no load is applied to it.

What physical quantity is measured using Beam balance?

  1. Mass

  2. Weight

  3. Density

  4. Volume


Correct Option: B
Explanation:

Beam balance is used to measure the weight.

Name the scientist who invented the spring balance?

  1. Robert Brown

  2. Robert Hooke

  3. Issac Newton

  4. Albert Einstein


Correct Option: B
Explanation:

Spring balance was invented by  British physicist Robert Hooke in 1660. Spring balance was invented to measure the weight of the substance.

In the arrangement shown, the pulleys are fixed and ideal, the strings are light, $m _{1} > m _{2}$ and $S$ is a spring balance which is itself massless. The reading of $S$ (in units of mass) is

  1. $m _{1} - m _{2}$

  2. $\dfrac {1}{2}(m _{1} + m _{2})$

  3. $\dfrac {m _{1}m _{2}}{m _{1} + m _{2}}$

  4. $\dfrac {2m _{1}m _{2}}{m _{1} + m _{2}}$


Correct Option: D
Explanation:

The acceleration of the system $= \left (\dfrac {m _{1} + m _{2}}{m _{1} + m _{2}}\right )g$ and hence the tension $T$ in the string is $\left (\dfrac {2m _{1}m _{2}}{m _{1} + m _{2}}\right )g$. The reading of the spring balance is $T$ (in units of force) and $\dfrac {T}{g}$ (in units of mass).

Spring balance is used for measuring :

  1. The force acting on an object

  2. The force of friction

  3. Magnitude of pressure

  4. Relative motion between objects


Correct Option: A
Explanation:

Spring balance is used to measure the weight (force acting) of the object. The working principle of the spring balance is Hooke's law.

In spring balances, the spring is used :

  1. to apply forces

  2. to measure forces

  3. to absorb shocks

  4. to store strain energy


Correct Option: B
Explanation:

In spring balances, the spring is used to measure the forces applied to it which helps to measure the weight of the body.

Spring of spring balance must be _______ in nature.

  1. Elastic

  2. Non-elastic

  3. Rubber

  4. None of these


Correct Option: A
Explanation:

Spring balance is used to measure the weight of the object. The working principle of spring balance is Hooke's law. Since Hooke's law is valid only for elastic objects, thus spring used in the spring balance must be elastic in nature.

Weight is a______

  1. Scalar quantity

  2. Vector quantity

  3. Both

  4. None


Correct Option: B
Explanation:

Weight is a vector quantity. Weight of the object refers to the force with which the object is attracted towards the earth.

The working principle of spring balance is :

  1. Newton's laws of motion

  2. Hooke's law

  3. Ohm's law

  4. None of the above


Correct Option: B
Explanation:

Spring balance is used to measure the weight of the object. When a load is hung on the spring, it stretches and the spring's extension is proportional to the weight of the object. The working principle of the spring balance is Hooke's law  which is  $F = -kx$.

State whether given statement is True or False.
Weight of same object differs at different distances from the equator. 

  1. True

  2. False


Correct Option: A
Explanation:
We know that acceleration due to gravity differs at different distances from the equator but the mass of the object remains constant.
Weight of the object   $W = mg$
Thus weight of the object differs at different distances from the equator.

The weight of an object :

  1. refers to the force with which it is attracted towards the earth

  2. refers to its inertia

  3. is the same as its mass but having different units

  4. none of these


Correct Option: A
Explanation:
Weight of the object  $W = mg$
Weight of the object refers to the force with which it is attracted towards the earth.

The SI unit of weight is :

  1. Kg

  2. Newton

  3. Pounds

  4. Tonne


Correct Option: B
Explanation:

Weight of the substance is given by  $W = mg$
where $m$ is the mass of substance and $g$ is the acceleration due to gravity.
SI unit of weight is Newton represented by $N$.

State whether given statement is True or False.
Weight remains constant at all places.

  1. True

  2. False


Correct Option: B
Explanation:
Weight of the object  $W = mg$
We know that acceleration due to gravity $g$ differs at different distances from the equator but mass of the object remains constant. Thus, weight of the object varies at different places.
Thus the given statement is false.

A spring balance has a scale reading from 0 to 50 kg. The length of the scale is 20 cm. A body suspended to the spring balance when displaced and released oscillates with a period of $0.6$ second. The mass off the body is:

  1. 15 kg

  2. 22 kg

  3. 50 kg

  4. 0.5 kg


Correct Option: B
Explanation:

According to the question,

The maximum mass scale can read $M=50\,kg$
The maximum displcement of spring $=$ 
length of scale, $l=20\,cm\,=0.2\,m$
$T$ (time period) $=0.6\,s$
Maximum force exerted on the spring $F=mg$
So,
$g=$acceleration due to gravity $ = 9.8\,m/{s^2}$
$F = 50 \times 9.8 = 490$
Since, speing constant,
$k = \frac{F}{l}$
$ = \frac{{490}}{{0.2}}$
$ = 2450\,N\,{m^{ - 1}}$
$m$ is suspended from the balance 
$T = 2\pi \sqrt {\frac{m}{k}} $
Since,
$m = {\left( {\frac{T}{{2\pi }}} \right)^2} \times k$
$ = {\left( {\frac{{0.6}}{{2 \times 3.14}}} \right)^2} \times 2450$
$ \approx 22\,kg$

A spring balance reads $10kg$ when a bucket of water is suspended from it. What is the reading on the spring balance when an ice cube of mass $1.5kg$ is into the bucket

  1. 22.5 kg

  2. 2.25 kg

  3. 1.15 kg

  4. 11.5 kg


Correct Option: D

A child stands on a bathroom scale while riding in an elevator. The child's weight when the elevator is not moving is 100 Ibs. What does the scale read when the elevator accelerates upward while travelling downward?

  1. greater than 100 Ibs

  2. less than 100 Ibs

  3. exactly 100 Ibs

  4. The same as it reads when accelerating downward while travelling upward, by symmetry.


Correct Option: A
Explanation:

Given,

When lift is not moving, gravity force act downward, weighing machine show $\vec{F}=m\vec{g}=100\,lbs\,$force.

When lift start moving upward with acceleration$\vec{a}$, Normal reaction force on child increase by $m\vec{a}$

Therefore, net weight on weighing machine become, $\vec{F}=m\vec{g}+m\vec{a}$

Hence, scale will show weigh greater than $100\,lbs$force.

A body of mass $32 \,kg$ is suspended by a spring balance from the roof of a vertically operating lift and going downward from rest. At the instants the lift has covered $20 \,m$ and $50 \,m$, the spring balance showed $30 \,kg$ and $36 \,kg$ respectively. Then the velocity of the lift is:

  1. decreasing at $20 \,m$ and increasing at $50 \,m$

  2. increasing at $20 \,m$ and decreasing at $50 \,m$

  3. continuously decreasing at a steady rate throughout the journey

  4. constantly increasing at constant rate throughout the journey.


Correct Option: B
Explanation:

According to Fbd

We know that,

$N=m\left( g-a \right)$

So, if $N<mg$

It is a case of downward acceleration

Then, the velocity is increase

Again, if $N>mg$

It is a case of downward retardation

Then, the velocity is decreases

Hence, the velocity is increasing at $20$ m and decreasing at $50\ m$

The two arms of a balance are of unequal length. An object when placed in the left pan of the balance weighs  4kg. The same object when placed in the right pan of the balance weighs 9 kg. The actual (or) true mass of the object is 

  1. $5.5kg$

  2. $6kg$

  3. $6.5kg$

  4. $7kg$


Correct Option: C

A $20 N$ metal block is suspended by a spring balance. A beaker containing some water is placed on a weighing machine which reads $40 N$. The spring balance is now lowered so that the block gets immersed in the water. The spring balance now reads $16 N$4. The reading of the weighing machine will be -  

  1. $36 N$

  2. $60 N$

  3. $44 N$

  4. $56 N$


Correct Option: C

Two equal masses m and m are hung from a spring balance whose scale pans differ in vertical height by h. If $\rho$ is the mean density of earth ,then what is the error in weighing?

  1. $\frac { 8 } { 3 } \pi \mathrm { G\rho m h }$

  2. $\frac { 4 } { 3 } \pi \mathrm { G\rho m h }$

  3. $\frac { 5 } { 3 } \pi \mathrm { G\rho m h }$

  4. $\infty$


Correct Option: A

A boy whose mass is $50$ kg stands on spring balance inside a lift. The lift starts to ascend with an acceleration of $2{ m/s }^{ -2 }$. The reading of the machine or balance (g = 10${ m/s }^{ -2 }$) is

  1. 50 kg

  2. zero

  3. 49 kg

  4. 60 kg


Correct Option: D

A body of mass 2 kg is hung on a spring balance mounted vertically in a lift. If the lift descends with an acceleration equal to the acceleration due to gravity g the reading of the spring balance will be

  1. 4 kg

  2. 2 X g kg

  3. 2/g kg

  4. zero


Correct Option: A

A bird is sitting in a wire cage hanging form the spring balance. Let the reading of the spring balance be $W _1$. If the bird flies about inside the cage, the reading of the spring balance is $W _2$. Which of the following is true :-

  1. $W _1=W _2$

  2. $W _1>W _2$

  3. $W _1 < W _2$

  4. Nothing definite can be pridicted


Correct Option: B

A false balance is such that the beam remains horizontal when the pans are empty. An object weighs ${ w } _{ 1 }$ when placed in one pan and ${ w } _{ 2 }$ when placed in the other pan. Then the weight W of the object is

  1. $\sqrt { { w } _{ 1 }{ w } _{ 2 } } $

  2. $\dfrac { { w } _{ 1 }+{ w } _{ 2 } }{ 2 } $

  3. $\dfrac { 2 }{ \sqrt { { w } _{ 1 }^{ 2 }+{ w } _{ 2 }^{ 2 } } } $

  4. $\sqrt { \dfrac { { w } _{ 1 }^{ 2 }+{ w } _{ 2 }^{ 2 } }{ 2 } } $


Correct Option: B

An object hangs from a spring balance. The balance indicates  $30 { N }$  in air and  $20 { N }$  when the object is submerged-in.water. What does the balance indicate when the object is submerged in a liquid. with a density that is half that of water ?

  1. $20 N$

  2. $25 N$

  3. $30 N$

  4. $35 N$


Correct Option: B

A man is standing on a weighting machine with a block in his hand. The machine records $W$. When he takes the block upwards with some acceleration the machine records $W _1$. When he takes the block down with some acceleration, the machine records $W _2$. Then choose correct option 

  1. $W _1 = W = W _2$

  2. $W _1 < W < W _2$

  3. $W _2 < W < W _1$

  4. $W _2 = W _1 > W$


Correct Option: C

A body is suspended on a spring balance in ship sailing along the equator with a speed $V$. If $\omega$ is the angular speed of the earth and ${W} _{0}$ is the scale reading when the ship is at rest, the scale reading when the ship is sailing will be very close to:

  1. ${W} _{0}$

  2. ${W} _{0}(1+\cfrac{2\omega V}{g})$

  3. ${W} _{0}(1\pm\cfrac{2\omega V}{g})$

  4. none of these


Correct Option: C

Find the reading of the spring  balance, when the elevator  is going  up with an acceleration of g /10 the pulley is smooth 

  1. 3.1 kg

  2. 4.4 kg

  3. 1.8 kg

  4. 6.2 kg


Correct Option: A

A person of mass 50 kg stands on a weighing scale on a lift. If the lift is descending with a downwards acceleration of $9 ms^{-2}$, what would be the reading of the weighing scale ? $(g = 10 ms^-2)$

  1. 5 kg

  2. 10 kg

  3. 15 kg

  4. 20 kg


Correct Option: A

A wooden block reads 0 kg wt on a spring balanced,when the block is immersed in water the reading of spring balance will be.
$ [p _{wood} = 0.8 gm/cm^3] $ 

  1. 8 kg wt

  2. 2 kg wt

  3. 6 kg wt

  4. zero


Correct Option: D

If a spring balance having frequency $f$ is taken on moon (having $ gravity = g/6$) it will have a frequency of

  1. $6f$

  2. $\dfrac{f}{3}$

  3. ${f}$

  4. $3f$


Correct Option: C

What is the net force on a bathroom scale when a 100 kg person stands on it ? $(g = 10 ms^-2)$

  1. 100 N

  2. 1000 N

  3. 50 N

  4. 0 N


Correct Option: D

The weight of a balloon is $W _1$ when empty and $W _2$ when filled with air. Both are weighed in air by the same sensitive spring balance and under identical condition. Then

  1. $W _1=W _2$, as the weight of air in the balloon is offset by the force of buoyancy on it

  2. $W _2 < W _1$, due to the force of buoyancy acting on the filled balloon

  3. $W _2 > W _1$ as the air inside is of a greater pressure and hence has greater density than the air outside

  4. $W _2=W _1+$ weight of the air inside it


Correct Option: C

Which of the following is not true of the standard weights and Measures? 

  1. Larger weights are made of iron

  2. Smaller weights are made of lead

  3. The value is written on the top

  4. They are either hexagonal or circular in shape


Correct Option: C

What principle is used In a  newton spring balance?

  1. The mass of an object depends on its density.

  2. The mass of an object depends an the gravity pulling

  3. The weight of an object is directly proportional to its mass.

  4. The extension of the spring is directly proportional to the force pulling it.


Correct Option: D

Which of the following principle helps in the measurement of mass of the planets?

  1. Einstein's theory of relativity

  2. Newton's Law of gravitation

  3. Newton's Law of cooling

  4. Parallax Method


Correct Option: B
Explanation:

With the help of Newton's law of gravitation we can measure mass of planets.

Newton's law of universal gravitation states that a particle attracts every other particle in the universe using a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

$F=\dfrac { G{ m } _{ 1 }{ m } _{ 2 } }{ { r }^{ 2 } } $   where $m _1$ amd $m _2$ are mass of planets, and $r$ is the distance between them  and $G$ is gravitation constant.
From this we can measure mass of planets.

A body is attached to a spring balance suspended from a stand. The reading on the balance is $0.5$kg. The two together are detached from the stand and allowed to fall through a height. While falling the reading in the balance will be.

  1. More than $0.5$ kg depending on the height

  2. Less than $0.5$ kg but not zero

  3. Zero

  4. $0.5$ kg


Correct Option: C

We can measure weights using both spring and beam balance. But on moon, which one will give accurate measuring ?

  1. Beam Balance

  2. Spring Balance

  3. Both

  4. None


Correct Option: A
Explanation:

Spring balance is used to measure the weight of the body whereas beam balance is used to measure the mass of the body. Since the mass of the body remains the same on earth as well as on moon but the acceleration due to gravity differs. So, the beam balance gives the same value of mass of body on earth and moon but spring balance gives different values of weight. So we can measure the mass of body on moon by beam balance and then multiply it by $g = 9.8 \ m/s^2$ to get the weight which would be more accurate.

What will be the reading of spring balance if a block of mass 5kg is hung to it ? 
(Take g =10 $m/s^2$)

  1. $35 N$

  2. $40 N$

  3. $50 N$

  4. $60 N$


Correct Option: C
Explanation:

Mass of the block   $m = 5 \ kg$
Given : $g = 10 \ m/s^2$
Thus reading of spring balance  $W = mg = 5\times 10  =50 \ N$

An object is suspended from a spring balance in a lift. The reading is $240 N$ when the lift is at rest. If the spring balance reading now changes to $220 N$, the the lift is moving 

  1. Downward with constant speed

  2. Downward with decreasing speed

  3. Downward with increasing speed

  4. Upward with increasing speed


Correct Option: C
Explanation:
Since the apparent weight of the body decreases, the lift should move downward with some acceleration.

A body is suspended from a spring balance kept in a satellite . The reading of the balance is ${ W } _{ 1 }$ when the satellite goes in an orbit of radius R and is ${ W } _{ 2 }$ when it goes in an orbit of radius 2 R. 

  1. ${ W } _{ 1 }$ = ${ W } _{ 2 }$

  2. ${ W } _{ 1 }$ < ${ W } _{ 2 }$

  3. ${ W } _{ 1 }$ > ${ W } _{ 2 }$

  4. ${ W } _{ 1 }$ $\neq $ ${ W } _{ 2 }$


Correct Option: A

A monkey is sitting in the pan of a spring balance kept in an elevator. The reading of the spring balance is maximum when the elevator.

  1. Is in stationary

  2. Accelerate upwards

  3. Falls freely

  4. Accelerate Downwards


Correct Option: A
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