Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 23

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In the density measurement of a cube, the mass and edge length are measured as $(10 .00 \pm 0 .10) kg$ and $(0 .10 \pm 0 .01) m$ , respectively. The error in the measurement of density is

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Important Questions on Physical World and Measurement

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 24

The area of a square is

5.29 {cm}^{2}

. The area of

7

such squares taking into account the significant figures is

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-4>Q 1

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

' a'

are

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-4>Q 2

If

V

, denotes the potential difference across the plates of a capacitor of capacitance

C,

the dimensions of

C V^{2}

are

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-4>Q 3

In the relation ;

P = \frac{α}{β} e^{- \frac{α Z}{k θ}}

,

P

is pressure,

Z

is distance,

k

is Boltzman constant and

θ

is the temperature. The dimensions of

β

will be:

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-4>Q 4

The equation

(p + \frac{a}{V^{2}}) (V - b)

= constant. The units of

a

are:

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-4>Q 5

If the acceleration due to gravity is

10 m s^{- 2}

and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration is

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-4>Q 6

If the dimensions of length are expressed as

G^{x} c^{y} h^{z};

where

G, c

and

h

are the universal gravitational constant, speed of light and Planck's constant respectively, then

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-4>Q 7

The velocity

v

of a particle at time t is given by

v = a t + \frac{b}{t + c}

, where

a, b

and

c

are constant. The dimensions of

a, b

and

c

are respectively: