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

EASY

Earn 100

Convert $1 N m^{2} {kg}^{- 2} into dyne {cm}^{2} g^{- 2}$ .

Important Questions on Units and Measurements

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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

The angle of

1'

(minute of arc) in radian is nearly equal to

EASY

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

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

The angular speed of a fly-wheel making

180 rpm

is ________

EASY

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

Light year is a unit of

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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

Plane angle and solid angle have:

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

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

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

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

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

EASY

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

The units nanometer and picometer are related as,

EASY

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

In a new system of units, unit of mass is 10 kg, unit of length is 1 km and unit of time is 1 min. The value of 1 watt in this new hypothetical system is

EASY

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

What is the power of a 100 W bulb in CGS units?

EASY

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

Length is measured in meter and time in second as usual. But a new unit of mass is so chosen that