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If energy $(E)$ , velocity $(V)$ and time $(T)$ are chosen as the fundamental quantities, the dimensional formula of surface tension will be___(For surface tension, Force=Surface tension $\times$ length)

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 9

The density of a material in SI units is

128 kg m^{- 3}

. In certain units in which the unit of length is

25 cm

and the unit of mass is

50 g

, the numerical value of density of the material is

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 10

If speed

(V)

, acceleration

(A)

and force

(F)

are considered as fundamental units, the dimension of Young's modulus will be,

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 11

Let

l, r, c,

and

v

represent inductance, resistance, capacitance and voltage, respectively. The dimension of

\frac{l}{r c v}

in SI units will be

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 13

A physical quantity of the dimensions of length that can be formed out of

c

G

and

\frac{e^{2}}{4 π e_{0}}

is [

c

is the velocity of light,

G

is the universal constant of gravitation and

e

is charge] :

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 14

If dimensions of critical velocity,

v_{c}

of a liquid flowing through a tube are expressed as

[η^{x} ρ^{y} r^{z}]

, where,

η, ρ

and

r

are the coefficient of viscosity of liquid, density of liquid and radius of the tube, respectively, then, the values of

x

y

and

z

are given by

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 15

A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate

g

, the acceleration due to gravity. If the maximum percentage error in measurement of the distance and the time are

e_{1}

and

e_{2}

, respectively, the percentage error in the estimation of

g

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 16

In an experiment, the percentage of error occurred in the measurement of physical quantities

A, B, C

and

D

are 1%, 2%, 3% and 4%, respectively. Then the maximum percentage of error in the measurement

X

, where

X = \frac{A^{2} B^{\frac{1}{2}}}{C^{\frac{1}{3}} D^{3}}

will be

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 17

The respective number of significant figures for the numbers

23.023, 0.0003, 21 \times 10^{- 3}

are

If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be___(For surface tension, Force=Surface tension×length)

Important Questions on Physical World and Measurement

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If energy $(E)$ , velocity $(V)$ and time $(T)$ are chosen as the fundamental quantities, the dimensional formula of surface tension will be___(For surface tension, Force=Surface tension $\times$ length)