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

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

MEDIUM

JEE Main

IMPORTANT

Earn 100

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

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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 - 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 _____ .

EASY

JEE Main

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 :

MEDIUM

JEE Main

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

MEDIUM

JEE Main

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

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 25 July 2022 Shift 1>Q 101

Which of the following physical quantities have the same dimensions?

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 25 July 2022 Shift 2>Q 102

The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are

1 %, 2 %

and

3 %

respectively. The maximum percentage error in the detection of the dissipated heat will be:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 26 July 2022 Shift 1>Q 103

A screw gauge of pitch

0.5 mm

is used to measure the diameter of uniform wire of length

6.8 cm

, the main scale reading is

1.5 mm

and circular scale reading is

7

. The calculated curved surface area of wire to appropriate significant figures is
[Screw gauge has

50

divisions on the circular scale]

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 26 July 2022 Shift 1>Q 104

In an experiment to determine the Young's modulus of wire of a length exactly

1 m

, the extension in the length of the wire is measured as

0.4 mm

with an uncertainty of

\pm 0.02 mm

when a load of

1 kg

is applied. The diameter of the wire is measured as

0.4 mm

with an uncertainty of

\pm 0.01 mm

. The error in the measurement of Young's modulus

(Δ Y)

is found to be

x \times 10^{10} N m^{- 2}

. The value of

x

is _____ .

Velocity v and acceleration a in two systems of units 1 and 2 are related as v2=nm2v1 and a2=a1mn respectively. Here m and n are constants. The relations for distance and time in two systems respectively are

Important Questions on Physics and Measurement

Learn and Prepare for any exam you want !

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