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

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JEE Main

IMPORTANT

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The SI unit of a physical quantity is $Pascal ‐ \sec$ . The dimensional formula of this quantity will be

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Important Questions on Physics and Measurement

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 27 June 2022 Shift 2>Q 93

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

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 27 June 2022 Shift 2>Q 94

L, C

and

R

are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 28 June 2022 Shift 1>Q 95

Assertion(A): Product of Pressure $(P)$ and time $(t)$ has the same dimension as that of coefficient of viscosity.

Reason(R): Coefficient of viscosity $= \frac{Force}{Velocity gradient}$

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 28 June 2022 Shift 2>Q 96

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

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 28 June 2022 Shift 2>Q 97

A student in the laboratory measures thickness of a wire using screw gauge. The readings are

1.22 mm, 1.23 mm, 1.19 mm

and

1.20 mm

. The percentage error is

\frac{x}{121} %

. The value of

x

is _____ .

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 29 June 2022 Shift 1>Q 98

In van dar Wall equation

[P + \frac{a}{V^{2}}] [V - b] = R T; P

is pressure,

V

is volume,

R

is universal gas constant and

T

is temperature. The ratio of constants

\frac{a}{b}

is dimensionally equal to :

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 29 June 2022 Shift 2>Q 99

The Vernier constant of Vernier callipers is

0.1 mm

and it has zero error of

(- 0.05 cm)

. While measuring diameter of a sphere, the main scale reading is

1.7 cm

and coinciding vernier division is

5

. The corrected diameter will be _____

\times 10^{- 2} cm

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 25 July 2022 Shift 1>Q 100

If momentum

[P]

, area

[A]

and time

[T]

are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is

The SI unit of a physical quantity is Pascal‐sec. The dimensional formula of this quantity will be

Important Questions on Physics and Measurement

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The SI unit of a physical quantity is $Pascal ‐ \sec$ . The dimensional formula of this quantity will be