Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 11

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The acceleration due to gravity is measured on the surface of earth by using a simple pendulum. If $α$ and $β$ are relative errors in the measurement of length and time period respectively, then percentage error in the measurement of acceleration due to gravity is

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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 12

A public park, in the form of a square, has an area of

(100.0 \pm 0.2) m^{2}

. The side of park is

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Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 13

A physical quantity is represented by

X = [M^{a} L^{b} T^{- c}]

. If percentage error in the measurement of

M, L

and

T

are

α %, β %

and

γ %

respectively, then maximum percentage error in measurement of

X

should be (Given that $\alpha, \beta$ and $\gamma$ are very small)

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Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 14

The least count of stop watch is

\frac{1}{5}

second.
The time of

20

oscillations of pendulum is measured to be

25

seconds. Then percentage error in the measurement of time will be

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Gamma Question Bank for Medical Physics>Chapter 2 - Units and Measurements>Assignment>Q 16

A dimensionally consistent relation for the volume

V

of a liquid of coefficient of viscosity

η

' flowing per second, through a tube of radius

r

and length

l

and having a pressure difference

P

across its ends, is

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

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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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