Match List I with List II. List-I List-II a Capacitance, C i M 1 L 1 T - 3 A - 1 b Permittivity of free space, ε 0 ii M - 1 L - 3 T 4 A 2 c Permeability of free space, μ 0 iii M - 1 L - 2 T 4 A 2 d Electric field, E iv M 1 L 1 T - 2 A - 2 Choose the correct answer from the options given below

( a ) → ( iii ), ( b ) → ( ii ) , ( c ) → ( iv ) , ( d ) → ( i )

( a ) → ( iii ), ( b ) → ( iv ), ( c ) → ( ii ), ( d ) → ( i )

( a ) → ( iv ), ( b ) → ( ii ), ( c ) → ( iii ), ( d ) → ( i )

( a ) → ( iv ), ( b ) → ( iii ), ( c ) → ( ii ), ( d ) → ( i )

HARD

JEE Main

IMPORTANT

Earn 100

$Assertion A :$ If in five complete rotations of the circular scale, the distance travelled on the main scale of the screw gauge is $5 mm$ and there are $50$ total divisions on a circular scale, then the least count is $0.001 cm .$

$Reason R :$
Least Count $= \frac{Pitch}{Total divisions on circular scale}$
In the light of the above statements, choose the most appropriate answer from the options given below.

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Important Questions on Physics and Measurement

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 27 July 2021 Shift 2>Q 20

Match List I with List II.

	List-I		List-II
a	Capacitance, C	i	$M^{1} L^{1} T^{- 3} A^{- 1}$
b	Permittivity of free space, $ε_{0}$	ii	$M^{- 1} L^{- 3} T^{4} A^{2}$
c	Permeability of free space, $μ_{0}$	iii	$M^{- 1} L^{- 2} T^{4} A^{2}$
d	Electric field, E	iv	$M^{1} L^{1} T^{- 2} A^{- 2}$

Choose the correct answer from the options given below

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 27 July 2021 Shift 2>Q 21

A physical quantity

y

is represented by the formula

y = m^{2} r^{- 4} g^{x} l^{- \frac{3}{2}}

If the percentage errors found in

y, m, r, l

and

g

are

18, 1, 0.5, 4

and

p

respectively, then find the value of

x

and

p

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main 16 March 2021 Shift 1>Q 22

One main scale division of a vernier callipers is

a

cm

and

n^{th}

division of the vernier scale coincide with

{(n - 1)}^{th}

division of the main scale. The least count of the callipers in

mm

is :

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main 16 March 2021 Shift 1>Q 23

The resistance

R = \frac{V}{I}

, where

V = (50 \pm 2) V

and

I = (20 \pm 0.2) A

. The percentage error in

R

x

%

. The value of

x

to the nearest integer is ________.

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main 17 March 2021 Shift 1>Q 24

The vernier scale used for measurement has a positive zero error of $0.2 mm .$ If while taking a measurement it was noted that $0$ on the vernier scale lies between $8.5 cm$ and $8.6 cm$ . Vernier coincidence is $6,$ then the correct value of measurement is $cm .$

(least count $= 0.01 cm$ )

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main 18 March 2021 Shift 1>Q 25

The time period of a simple pendulum is given by

T = 2 π \sqrt{\frac{l}{g}} .

The measured value of the length of the pendulum is

10 cm

known to a

1 mm

accuracy. The time for

200

oscillations of the pendulum is found to be

100

second using a clock of

1 s

resolution. The percentage accuracy in the determination of

g

using this pendulum is

x .

The value of

x

to the nearest integer is:-

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main 18 March 2021 Shift 1>Q 26

In the experiment of Ohm's law, a potential difference of

5.0 V

is applied across the end of a conductor of length

10.0 cm

and diameter of

5.00 mm .

The measured current in the conductor is

2.00 A .

The maximum permissible percentage error in the resistivity of the conductor is :-

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main 18 March 2021 Shift 2>Q 27

The radius of a sphere is measured to be

(7.50 \pm 0.85) cm

. Suppose the percentage error in its volume is

x

. The value of

x

, to the nearest

x

, is ___ .

Important Questions on Physics and Measurement

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