EASY

MHT-CET

IMPORTANT

Earn 100

The force $F$ is expressed in terms of distance $x$ and time $t$ as $F = a \sqrt{x} + b t^{2}$ . The dimensions of $a / b$ is

50% studentsanswered this correctly

Important Questions on Measurements

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Critical Thinking>Q 26

For the equation,

F \propto A^{a} v^{b} d^{c}

, where

F

is the force,

A

is the area,

v

is the velocity and

d

is the density, the values of

a, b

and

c

are, respectively,

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Critical Thinking>Q 27

Using the principle of homogeneity of dimensions, find which of the following relation is correct? [

T

is the time period,

a

is the radius of the orbit and

M

is the mass of the sun.]

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Critical Thinking>Q 28

The period of a body under SHM is represented by,

T = P^{a} D^{b} S^{c}

, where

P

is pressure,

D

is density and

S

is surface tension. The value of

a, b

and

c

are,

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Critical Thinking>Q 29

The equation of a wave is given by,

Y = A \sin ω (\frac{x}{v} - k)

, where

ω

is the angular velocity and

v

is the linear velocity. The dimension of

k

is,

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Critical Thinking>Q 30

Find the dimensions of

(\frac{a}{b})

in the equation,

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

, where

P

is pressure,

x

is distance and

t

is time.

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Critical Thinking>Q 31

The equation of state of some gases can be expressed as

(P + \frac{a}{V^{2}}) (V - b) = R T

. Here,

P

is the pressure,

V

is the volume,

T

is the absolute temperature and

a, b, R

are constants. The dimensions of

\frac{a}{b}

are,

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Critical Thinking>Q 32

If the speed of light

(c)

, acceleration due to gravity

(g)

and pressure

(p)

are taken as the fundamental quantities, then the dimension of gravitational constant is,

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 1 - Measurements>Critical Thinking>Q 33

The value of acceleration due to gravity is

980 cm s^{- 2}

. If the unit of length is kilometre and that of time is minute then value of acceleration due to gravity is,

The force F is expressed in terms of distance x and time t as F=ax+bt2. The dimensions of a/b is

Important Questions on Measurements

Learn and Prepare for any exam you want !

The force $F$ is expressed in terms of distance $x$ and time $t$ as $F = a \sqrt{x} + b t^{2}$ . The dimensions of $a / b$ is