EASY

JEE Advanced

IMPORTANT

Earn 100

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

50% 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 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

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 37

If the velocity

(V),

acceleration

(A),

and force

(F)

are taken as fundamental quantities instead of mass

(M),

length

(L),

and time

(T),

the dimensions of Young's modulus

(Y)

would be

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 38

The percentage errors in the measurement of mass and speed are

2 %

and

3 %

, respectively. How much will be the maximum error in the estimation of

K E

obtained by measuring mass and speed?

A physical quantity X is represented by X=MxL-yT-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

Important Questions on Dimensions and Measurement

Learn and Prepare for any exam you want !

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