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Unit of fundamental quantities - class-VI

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From the following, the biggest unit of energy is?

  1. Joule

  2. Kilowatt hour

  3. Erg

  4. Electron volt


Correct Option: B
Explanation:

Since, we know that SI unit of energy is represented by Joule. Hence, let us convert all the different units in the form of Joules.


$1\,Joule=1\,Joule$

$1\,Kwh=3600000\,Joule$

$1\,erg=10^{-7}\,Joule$

$1\,eV=1.6\times 10^{-19}\,Joule$

Hence, Kilowatt hour is the largest unit of energy and hence it is practically used in everyday life of electric consumption.

Which of the following is not unit of length?

  1. angstrom

  2. fermi

  3. barn

  4. parsec


Correct Option: C
Explanation:

Angstrom, fermi and parsec are the units of length whereas barn is the unit of nuclear cross-section. 

Which of the following is the smallest unit?

  1. millimetre

  2. angstrom

  3. fermi

  4. metre


Correct Option: C
Explanation:
$1 \ mm = 10^{-3}\ m$
 $1 \ \overset{o}{A} = 10^{-10} \  m$;
$1 \ fm =10^{-15}\  m$
Among the given units fermi is the smallest unit.
Hence the correct option is $(C)$

Which of the following system of units is not based on unit of mass, length and time?

  1. CGS

  2. FPS

  3. MKS

  4. SI


Correct Option: D
Explanation:
The SI unit system is not based on only mass, length and time alone. 
This unit system is consists of seven fundamental units which can be given as mass, length, time, temperature, luminous intensity, mole and current.
The correct answer is option $(D)$

Match the Column I with Column II.

Column I Column II
(A) Distance between earth and sun (p) Micron
(B) Interatomic distance in a solid (q) Fermi
(C) Size of a nucleus (r) Light year
(D) Wavelength of infrared laser (s) Angstrom
  1. A - p, B - q, C - r, D - s

  2. A - r, B - s, C - q, D - p

  3. A - q, B - p, C - s, D - r

  4. A - s. B - r, C - p, D - q


Correct Option: B
Explanation:

Distance between earth and sun - Light year
Interatomic distance in a solid - Angstrom
Size of a nucleus - Fermi
Wavelength of infrared laser - Micron

Match the Column I with Column II

Column I(Physical quantity) Column II(Name of unit)
(A) Conductance (p) gray
(B) Magnetic induction (q) lumen
(C) Absorbed dose (r) tesla
(D) Luminous flux (s) siemens
  1. A - s, B - r, C - p, D - q.

  2. A - p, B - q, C - r, D - s.

  3. A - q, B - p, C - s, D - r.

  4. A - r, B - s, C - p, D - q.


Correct Option: A
Explanation:

1) Conductance (G) is reciprocal of resistance (R).

$\therefore G=\dfrac{1}{R}$
$\therefore G=\dfrac{I}{V}$      $\left[\therefore \text{since}\,R=\dfrac{V}{I}\right]$
And its Unit is Siemens (S)
2) When an emf [electromotive force] is induced in a circuit due to change in the magnetic flux associated with the circuit is called Magnetic Induction.
$B=\dfrac{F}{q\,v\,\sin\theta}$
Unit is Tesla
3) Absorbed Dose (D) is the amount of energy abdorbed per unit mass of tissue.
Unit is GRAY (Gy)
4) Luminous flux is the measurement of brightness of a light source in terms of energy emitted.
SI unit is Lumen.

What is the value of $1 \ m $ in $\mu$ (micron)?

  1. $10^5$

  2. $10^6$

  3. $10^9$

  4. $10^{12}$


Correct Option: B
Explanation:

Answer is B

$1\ m=10^{6}\mu $
The micrometer is a common unit of measurement for wavelengths of infrared radiation as well as sizes of biological cells and bacteria and is also commonly used in plastics manufacturing.

$5800 \mathring A$ in nm will be?

  1. 58

  2. 5.8

  3. 580

  4. 0.58


Correct Option: C
Explanation:

We know that $1{\buildrel _{\circ}\over{\mathrm{A}}}=10^{-10} m$

$1$ nanometer or $1\ nm =$$10^{-9}m$
So, we get $1{\buildrel _{\circ}\over{\mathrm{A}}}=0.1 nm$
$5800{\buildrel _{\circ}\over{\mathrm{A}}}=0.1\times 5800\ nm= 580\ nm$

Convert $1$ $ \displaystyle g/cm^{3} $ to $\displaystyle kg/m^{3} $

  1. 1000

  2. 100

  3. 0.1

  4. 10


Correct Option: A
Explanation:

We know that  $1 \ g = \dfrac{1}{1000} \ kg$
Also,  $1\ cm = \dfrac{1}{100} \ m$
Thus   $1g/cm^3 = 1 \ g\times\dfrac{1  \ kg}{1000 \ g}\times \dfrac{1}{1 \ cm^3}\times \dfrac{(100)^3 \ cm^3}{1 \ m^3} = 1000 \ kg/m^3$

One centimetre is equal to

  1. 5 mm

  2. 10 mm

  3. 15 mm

  4. None of these


Correct Option: B
Explanation:

We know that:

$ 1\ cm = 10\ mm$

Which of the following is not a unit of mass?

  1. Slug

  2. Kilogram

  3. Ton

  4. Newton


Correct Option: D
Explanation:

The slug is the unit of  mass in the US common system of units. 

It is a mass that accelerates by $1\ ft/s^2$ when $1$ pound force is applied. 
The kilogram (kg) is the SI unit of mass. 
Ton is also represent the unit of mass and $1$ ton is equal to $1000$ kg.
Newton is the SI unit of force. 

How many quintals are there in one metric ton?

  1. 10

  2. 100

  3. 1000

  4. none of these


Correct Option: A
Explanation:

Here, quintal and ton both are the unit of mass. 

$1$ quintal $=100 kg$ and $1$ ton $=1000kg$
Thus, $1$ ton $=10$ quintals

How many kilograms are there in one metric ton?

  1. 10

  2. 100

  3. 1000

  4. 10000


Correct Option: C
Explanation:

The metric ton is a unit of mass and one metric tone is equal to $1000$ kilograms.

Slug is a unit of

  1. weight

  2. mass

  3. length

  4. area


Correct Option: B
Explanation:

Slug is the unit of mass in US common system of units. It is a mass which accelerates by $1\ ft/s^2$ when a one pound force is applied.   

The ratio of mass of a body in moon and earth is

  1. $1$

  2. $1/6$

  3. $1/12$

  4. $1/2$


Correct Option: A
Explanation:

When a body moves from one planet another the gravitational force acting on it changes but mass remains the same. Hence mass on earth and on the moon of any object is the same.

A particle has weight 1 grams. It's weight in milligrams will be

  1. $10mg$

  2. $100mg$

  3. $1000mg$

  4. $10000mg$


Correct Option: C
Explanation:

We know that, $1$ miligram (mg) $=10^{-3}$ gram

So, $1000\ mg=1\ gm$

A body has weight 10000 kg. It's weight in quintal will be

  1. $10$

  2. $100$

  3. $1000$

  4. $0.01$


Correct Option: B
Explanation:

We know that, $1$ quintal $=100\ kg$

Thus, $10000\ kg=\dfrac{10000}{100} $ quintal $=100$ quintal

What is the base unit for measuring distance in the metric system?

  1. Gram

  2. Liter

  3. Meter

  4. Seconds


Correct Option: C
Explanation:

In the metric system, distance is measured in meter.

Which of the following is the  non-metric unit of length?

  1. millimeters

  2. centimeters

  3. meters

  4. inches


Correct Option: D
Explanation:

Millimeters, centimeters and meters are the metric units of length and inches is the non-metric unit of length.

Which of the following is non-metric unit of length?

  1. feet

  2. yards

  3. miles

  4. all of the above


Correct Option: D
Explanation:

Millimeters, centimeters and meters are the metric units of length whereas feet, yards and miles are the non-metric units of length.

Which scale is best for measuring the length of a ladybug?

  1. Millimeters

  2. Centimeters

  3. Meters

  4. Kilometers


Correct Option: B
Explanation:

The size of a ladybug is very small, of the order of centimeters. Thus centimeters is the best scale for measuring the length of a ladybug.

The least value measured with metre-scale is (if the metre scale is divided into 1000) ....................... .

  1. 1 mm

  2. 1 m 

  3. 1 cm

  4. 1 nm


Correct Option: A
Explanation:
Since, $1 \ metre$ is divided into $1000$ divisions.
Least count of metre scale  $L.C. = \dfrac{1 \ m}{1000} = 0.001 \ m = 1 \ mm$

In the above instrument while measuring an internal diameter. $ID$ is set of $321 mm$ with no zero error . if cap end is after ${17^{th}}$ division and ${17^{th}}$ division of main scale coincides with the reference line, the $ID$ is:-

  1. $321.717 mm$

  2. $321.87 mm$

  3. $328.17 mm$

  4. $324.67 mm$


Correct Option: B

The unit of the quantity $g/G$ in SI will be

  1. $kg$ ${m}^{-2}$

  2. $mk$ ${g}^{-2}$

  3. ${m}^{2}$ ${kg}^{-1}$

  4. ${kg}^{2}$ ${m}^{-1}$


Correct Option: A

Light year is the unit of following physical quantity

  1. Time

  2. Distance

  3. Mass

  4. None


Correct Option: B

What is the advantage of choosing the wavelength of light as a standard of length?

  1. Travels fast

  2. Speed independent of location and temperature

  3. No medium to travel

  4. No advantage


Correct Option: B
Explanation:

Advantage :

1) It is easy available and invariable

2) It is well defined and does not change with locations, temperature, time, pressure etc

Which of the following is not the unit of length 

  1. micron

  2. light year

  3. angstrom

  4. radian


Correct Option: D
Explanation:

Radian is not the unit of length it is the unit of angle.

The SI unit of length is the:

  1. Millimetre

  2. Centimetre

  3. Metre

  4. Kilometre


Correct Option: C
Explanation:

Metre is the SI unit of length.

Choose the correct answer from the following

  1. An area of one square centimetre is $10^4$ times greater than one square metre

  2. $1 hour\ 18 min$ is equal to $3618$ seconds.

  3. SI unit of volume is cubic metres.

  4. Metre is the standard unit to measure length


Correct Option: C,D
Explanation:

$1$ square centimeter $=(10^{-2})^2 m^2=10^{-4} m^2$

Thus, option A will be wrong.
$1 hour\ 18 min$ $=3600+(18\times 60)=3600+1080=4680 $ seconds.
So, option B will also wrong.
We know that the SI unit of volume is cubic meter and meter is the standard unit of length.
Thus, option C and D both are correct.

A length is measured as $7.60$m. This is the same as

  1. $760$mm

  2. $0.0076$mm

  3. $760$cm

  4. $0.76dm$


Correct Option: C
Explanation:

Length $l=7.6m$

we know 
${ 1 \ m }=100 \ cm=1000 \ mm=10\ dm$
$\therefore l= 7.6m=760cm=7600mm=76dm$

What is the value of $1 \ mg$ in $kg$?

  1. $10^{6}$

  2. $10^{-6}$

  3. $10^{-3}$

  4. $10^{3}$


Correct Option: B
Explanation:
$1\  mg =10^{-3}g$ and $1\ g=10^{-3}kg$
So , $1\ mg =10^{-6} kg$

Name the physical quantity(s) which is(are) measured in the $nm$.

  1. Length

  2. Density

  3. Volume

  4. Mass


Correct Option: A
Explanation:

Nanometre or $nm$ is a unit of length in the metric system. $1\ nm=10^{-9}\ m$.

The nanometre is often used to express dimensions on an atomic scale: the diameter of a helium atom, for example, is about $0.1\ nm$, and that of a ribosome is about $20\ nm$. The nanometre is also commonly used to specify the wavelength of electromagnetic radiation near the visible part of the spectrum: visible light ranges from around $400$ to $700\ nm$.

What is the value of $1  \ gm$ in $kg$?

  1. $10^{-6}$

  2. $10^{6}$

  3. $10^{-3}$

  4. $10^{3}$


Correct Option: C
Explanation:
$1\ kg = 1000\  g$
$\therefore 1\  gm = 10^{-3}$

The measure of amount of matter contained inside a body is called its ___________.

  1. Weight

  2. Mass

  3. Area

  4. None of the above


Correct Option: B
Explanation:

Mass is the amount of matter contained inside a body and it remains constant irrespective of the change in its location

Mass is a measure of amount of matter contained inside body.

Name the physical quantities which are measured in '$u$'.

  1. Mass

  2. Energy

  3. Volume

  4. Length


Correct Option: A
Explanation:

The unified atomic mass unit (symbol: $u$) is the standard unit that is used for indicating mass on an atomic or molecular scale (atomic mass).

$1u=1.66\times10^{-27}\ kg$

State whether the following statement is True or False. 

Kg is the unit of mass in the M.K.S. system.

  1. True

  2. False


Correct Option: A
Explanation:

In M.K.S. system of units, mass is measured in kilogram (Kg). Thus the given statement is true.

What is the S.I. base unit of mass ?

  1. pound

  2. kg

  3. g

  4. none of these


Correct Option: B
Explanation:

S.I. base unit of mass is kilogram represented by kg.

The total mass of two objects of mass $1050 \ kg$ and $12 \ tonnes$ is

  1. $22.5\ quintals$

  2. $130.5\ quintals$

  3. $11.2\ tonnes$

  4. $12\times 10^3kg$


Correct Option: B
Explanation:
Given ,
The mass of first object  $m _{1}=1050kg=10.50quintals , $
The mass of second object $ m _{2}=12tonnes=120quintals$

Therefore , total mass ,
             $M=m _{1}+m _{2}=10.50+120=130.50quintals$

SI unit of mass is

  1. kg

  2. g

  3. Newton

  4. All of these


Correct Option: A
Explanation:

The SI unit of mass is kg, CGS unit of mass is g (gram). Newton is the SI unit of force. 

It has long been an objective in metrology to define the kilogram in terms of a fundamental constant, in the same way that the ____________________ is now defined in terms of the speed of light. 

  1. centimetre

  2. metre

  3. decimetre

  4. none of the above


Correct Option: B
Explanation:

Metre is the SI unit used for measuring the distance which is defined taking speed of light as a reference.

100 kg of Silver has volume $10{ m }^{ 3 }.$ The density of silver in C.G.S is

  1. $10{ g/cm }^{ 3 }$

  2. $0.05{ g/cm }^{ 3 }$

  3. $0.01{ g/cm }^{ 3 }$

  4. None of these


Correct Option: C
Explanation:
Given

The mass of silver $= 100 kg$

Volume of the cube $= 10 m^3$

We know that the density of a substance is given by the following formula

$Density = \dfrac{Mass}{Volume}$

Density of the silver $= \dfrac{100}{10} kg/m^3=10kg/m^3$

Now we know that $1 kg = 1000 gm = 10^3 gm$

and $1 m = 100 cm$

$⇒ 1 m^3 = 100^3 \,cm^3 = 10^6 cm^3$

Therefore, the density of silver in cgs $= \dfrac{10\times 10^3}{10^6} gm/cm^3=0.01\,gm/cm^3$

Which of the following defines 1 kg of mass correctly?

  1. When a force of 1N produced an acceleration of $\displaystyle 1{ m }/{ { s }^{ 2 } }$ in a body, then the mass is said to be 1 kg

  2. When a force of 10N produced an acceleration of $\displaystyle 10{ m }/{ { s }^{ 2 } }$ in a body, then the mass of body is said to be 1 kg

  3. When a force of 100N produced an acceleration of $\displaystyle 1{ m }/{ { s }^{ 2 } }$ in a body, then the mass of body is said to be 1 kg

  4. All


Correct Option: A
Explanation:

When a force of 1 N produced an acceleration of $\displaystyle 1{ m }/{ { s }^{ 2 } }$ in a body, then the mass of body is said to be 1 kg.(definition)

The kilogram, originally defined as the mass of ___________________at the temperature of maximum density, was known as the Kilogram of the Archives.

  1. one cubic decimeter of gasoline

  2. one cubic decimeter of water

  3. one cubic decameter of water

  4. one square decameter of water


Correct Option: B
Explanation:

The kilogram, defined as the mass of one cubic decimeter of water at $4^o C$ is known as kilogram of the Archives.

The kilogram is the SI base unit of mass and is equal to the mass of the international prototype of the kilogram , a ___________standard that is kept at the International Bureau of Weights and Measures (BIPM) .

  1. platinum-iridium

  2. platinum

  3. iridium

  4. all of the above


Correct Option: A
Explanation:

Platinum-iridium is the standard that is kept at the International Bureau of Weights and Measures (BPIM).

______________________ is/are linked through its/their definitions to the mass of the platinum-iridium cylinder stored in a vault near Paris.

  1. ampere

  2. mole

  3. candela

  4. all of the above


Correct Option: D
Explanation:

Ampere, Mole and Candela are linked through their definitions to the mass of the platinum-iridium cylinder stored in a vault near Paris.

$10^{-3}$ gram is called the

  1. kilogram

  2. milligram

  3. decigram

  4. microgram


Correct Option: B
Explanation:

1 milligram (mg) = $10^{-3}$ gram (g)

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