Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 17

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$E, m, J$ and $G$ denote energy, mass, angular momentum and gravitational constant respectively. The dimensions of $\frac{E J^{2}}{m^{5} G^{2}}$ are same as of

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Important Questions on Units and Measurements

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

If

y

represents pressure and

x

represents velocity gradient, then the dimensions of

\frac{d^{2} y}{d x^{2}}

are

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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

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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

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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

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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

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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

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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

?

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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