Velocity v and acceleration a in two systems of units 1 and 2 are related as v 2 = n m 2 v 1 and a 2 = a 1 m n respectively. Here m and n are constants. The relations for distance and time in two systems respectively are

n 3 m 3 L 1 = L 2 and n 2 m T 1 = T 2

L 1 = n 4 m 2 L 2 and T 1 = n 2 m T 2

L 1 = n 2 m L 2 and T 1 = n 4 m 2 T 2

n 2 m L 1 = L 2 and n 4 m 2 T 1 = T 2

Match the physical quantities with their correct SI units. List-I List-II (A) Planck's constant (I) kg m s - 2 (B) Torque (II) kg - 1 m 3 (C) Weight (III) m 2 kg s - 1 (D) Specific volume (IV) kg m 2 s - 2 The correct match is

A = III , B = IV , C = I , D = II

A = II , B = IV , C = I , D = III

A = IV , B = I , C = II , D = III

A = II , B = III , C = I , D = IV

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What is the MKS unit of Force ?

Important Questions on Units and Measurements

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

Plane angle and solid angle have:

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

The angular speed of a fly-wheel making

180 rpm

is ________

MEDIUM

Physics>Mechanics>Units and Measurements>The International System of Units

Velocity

(v)

and acceleration

(a)

in two systems of units

1

and

2

are related as

v_{2} = \frac{n}{m^{2}} v_{1}

and

a_{2} = \frac{a_{1}}{m n}

respectively. Here

m

and

n

are constants. The relations for distance and time in two systems respectively are

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

In SI units,

kg m^{2} s^{- 2}

is equivalent to which of the following?

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

Match the physical quantities with their correct $SI$ units.

	List-I		List-II
(A)	Planck's constant	(I)	$kg m s^{- 2}$
(B)	Torque	(II)	${kg}^{- 1} m^{3}$
(C)	Weight	(III)	$m^{2} kg s^{- 1}$
(D)	Specific volume	(IV)	$kg m^{2} s^{- 2}$

The correct match is

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

Match List I with List II

	List I		List II
A	Torque	I	$kg m^{- 1} s^{- 2}$
B	Energy density	II	$kg m s^{- 1}$
C	Pressure gradient	III	$kg m^{- 2} s^{- 2}$
D	Impulse	IV	$kg m^{2} s^{- 2}$

Choose the correct answer from the options given below :

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

The distance of the Sun from earth is

1.5 \times 10^{11} m

and its angular diameter is

2000''

when observed from the earth. The diameter of the Sun will be

MEDIUM

Physics>Mechanics>Units and Measurements>The International System of Units

A huge circular arc of length $4.4 ly$ subtends an angle $4 s$ at the centre of the circle. How long it would take for a body to complete $4$ revolution if its speed is $8 AU$ per second?
Given : $1 ly = 9.46 \times 10^{15} m$

$1 AU = 1.5 \times 10^{11} m$

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

Pick out the stranger

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Physics>Mechanics>Units and Measurements>The International System of Units

The prefix atto means

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

Light year is a unit of

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

The angle of

1'

(minute of arc) in radian is nearly equal to

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Physics>Mechanics>Units and Measurements>The International System of Units

If $E$ and $H$ represents the intensity of electric field and magnetizing field respectively, then the unit of $\frac{E}{H}$ will be:

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Physics>Mechanics>Units and Measurements>The International System of Units

Universal time is based on

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Physics>Mechanics>Units and Measurements>The International System of Units

The surface tension of mercury is 32 dyne

32 dyne c m^{- 1}

. Its value in SI units is

MEDIUM

Physics>Mechanics>Units and Measurements>The International System of Units

A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the sun and the earth in terms of this new unit, if light takes