Beta Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise (Analytical Questions)>Q 4

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A physical quantity $X$ is given by $X = \frac{2 k^{3} l^{2}}{m \sqrt{n}}$ . The percentage error in the measurements of $k, l, m$ and $n$ are $1 %$ , $2 %$ , $3 %$ and $4 %$ respectively. The value of $X$ is uncertain by

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Important Questions on Physical World and Measurement

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Beta Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise (Analytical Questions)>Q 5

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 constants. The dimensions of

a, b

and

c

are respectively

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Beta Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise (Analytical Questions)>Q 6

The magnetic moment has dimension of

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Beta Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise (Analytical Questions)>Q 7

Dimensions of electrical resistance is

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Beta Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise (Analytical Questions)>Q 8

Which two of the following five physical parameters have the same dimensions?
(A) Energy density
(B) Refractive index
(C) Dielectric constant
(D) Young's modulus
(E) Magnetic field

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Beta Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise (Analytical Questions)>Q 9

If the error in the measurement of radius of a sphere is 2% then the error in determination of volume of the sphere will be:

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Beta Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise (Analytical Questions)>Q 10

If the dimensions of a physical quantity are given by

M^{a} L^{b} T^{c}

then the physical quantity will be :

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Beta Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise (Analytical Questions)>Q 11

The dimensions of

\frac{1}{2} ε_{0} E^{2}

, where

ε_{0}

is permittivity of free space and

E

is electric field, is

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Beta Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise (Analytical Questions)>Q 12

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

is