Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 18

MEDIUM

NEET

IMPORTANT

Earn 100

If $y$ represents pressure and $x$ represents velocity gradient, then the dimensions of $\frac{d^{2} y}{d x^{2}}$ are

50% studentsanswered this correctly

Important Questions on Units and Measurements

EASY

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 19

The dimensions of

\frac{α}{β}

in the equation

F = \frac{α - t^{2}}{β v^{2}}

, where

F

is the force,

v

is velocity and

t

is time, is

EASY

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 20

Even if a physical quantity depends upon three quantities, out of which two are dimensionally same, then the formula cannot be derived by the method of dimensions. This statement

MEDIUM

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 21

In a new system of units energy

(E)

, density

(d)

and power

(P)

are taken as fundamental units, then the dimensional formula of universal gravitational constant

G

will be

MEDIUM

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 22

In equation

y = x^{2} \cos^{2} 2 π \frac{β γ}{α}

, the units of

x, α, β

are

m, s^{- 1}

and

{({ms}^{- 1})}^{- 1}

respectively. The units of

y

and

γ

are

EASY

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 23

Let

P

represent radiation pressure,

c

represent speed of light and

I

represent radiation energy striking a unit area per second, then

P^{x} I^{y} c^{z}

will be dimensionless for

MEDIUM

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 24

The number of particles crossing per unit area perpendicular to

Z

axis per unit time is given by

N = - D \frac{(N_{2} - N_{1})}{(Z_{2} - Z_{1})}

, where

N_{2}

and

N_{1}

are the number of particles per unit volume at

Z_{2}

and

Z_{1}

respectively. What is the dimensional formula for

D

?

MEDIUM

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 25

The frequency of vibration

f

, of a mass

m

suspended from a spring of spring constant

K

, is given by a relation of this type,

f = C m^{x} K^{y}

where

C

is a dimensionless quantity. The value of

x

and

y

are

MEDIUM

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 26

If energy

E

, velocity

V

and time

T

are taken as fundamental units, the dimensional formula for surface tension is