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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A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in $1 cm$ on main scale and $50$ Vernier scale divisions are equal to $49$ main scale divisions, then least count of the travelling microscope is _____ $\times 10^{- 6} m$ .

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Important Questions on Physics and Measurement

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 26 June 2022 Shift 1>Q 89

An expression for a dimensionless quantity

P

is given by

P = \frac{α}{β} \log_{e} (\frac{k T}{β x})

; where

α

and

β

are constants,

x

is distance;

k

is Boltzmann constant and

T

is the temperature. Then the dimensions of

α

will be

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 26 June 2022 Shift 1>Q 90

In a vernier callipers, each

cm

on the main scale is divided into

20

equal parts. If

10^{t h}

vernier scale division coincides with

9^{t h}

main scale division. Then the value of vernier constant will be _____

\times 10^{- 2} mm

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 27 June 2022 Shift 1>Q 91

A silver wire has a mass

(0.6 \pm 0.006) g

, radius

(0.5 \pm 0.005) mm

and length

(4 \pm 0.04) cm

. The maximum percentage error in the measurement of its density will be

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 27 June 2022 Shift 2>Q 92

The SI unit of a physical quantity is

Pascal ‐ \sec

. The dimensional formula of this quantity will be

EASY

JEE Main

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

MEDIUM

JEE Main

IMPORTANT

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?

MEDIUM

JEE Main

IMPORTANT

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 $= \frac{Force}{Velocity gradient}$

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 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

A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling microscope is _____ ×10-6 m.

Important Questions on Physics and Measurement

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A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in $1 cm$ on main scale and $50$ Vernier scale divisions are equal to $49$ main scale divisions, then least count of the travelling microscope is _____ $\times 10^{- 6} m$ .