HARD

JEE Advanced

IMPORTANT

Earn 100

If $c$ (the velocity of light) $g$ , (the acceleration due to gravity) and $P$ (the atmospheric pressure) are the fundamental quantities in $MKS$ system, then the dimensions of length will be same as that of

40% studentsanswered this correctly

Important Questions on Dimensions and Measurement

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 29

The relation

\tan θ = \frac{v^{2}}{r g}

gives the angle of banking of the cyclist going round the curve. Here

v

is the speed of the cyclist,

r

is the radius of the curve, and

g

is the acceleration due to gravity. Which of the following statements about the relation is true?

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 30

A physical quantity

X

is represented by

X = (M^{x} L^{- y} T^{- z})

. The maximum percentage errors in the measurement of

M, L

and

T

, respectively, are

a %

b %

and

c %

. The maximum percentage error in the measurement of

X

will be

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 31

The velocity of transverse wave in a string is

v = \sqrt{\frac{T}{m}}

where

T

is the tension in the string and

m

is the mass per unit length. If

T = 3.0 kg f

, the mass of string is

2.5 g

and the length of string is

l = 1.000 m

then the percentage error in the measurement of velocity is

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 32

Write the dimensions of

a / b

in the relation

P = \frac{a - t^{2}}{b x}

, where

P

is the pressure,

x

is the distance and

t

is the time.

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 33

Write the dimensions of

a \times b

in the relation

E = \frac{b - x^{2}}{a t}

where

E

is the energy,

x

is the displacement, and

t

is the time

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 34

If the velocity of light

C

, the universal gravitational constant

G

, and Planck's constant

h

are chosen as fundamental units, the dimensions of mass in this system are

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 35

The effective length of a simple pendulum is the sum of the following three: length of string, radius of bob, and length of hook. In a simple pendulum experiment, the length of the string, as measured by a meter scale, is

92.0 cm

. The radius of the bob combined with the length of the hook, as measured by a vernier callipers, is

2.15 cm

. The effective length of the pendulum is

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 36

The moment of inertia of a body rotating about a given axis is

12.0 kg m^{2}

in the

SI

system. What is the value of the moment of inertia in a system of units in which the unit of length is

5 cm

and the unit of mass is

10 g

If c (the velocity of light) g, (the acceleration due to gravity) and P (the atmospheric pressure) are the fundamental quantities in MKS system, then the dimensions of length will be same as that of

Important Questions on Dimensions and Measurement

Learn and Prepare for any exam you want !

If $c$ (the velocity of light) $g$ , (the acceleration due to gravity) and $P$ (the atmospheric pressure) are the fundamental quantities in $MKS$ system, then the dimensions of length will be same as that of