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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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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 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

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 18

The period of oscillation of a simple pendulum is

T = 2 π \sqrt{L / g} .

Measured value of

L = 20.0 cm

known to

1 mm

accuracy and time for

100

oscillations of the pendulum is found to

90 s

using a wrist watch of

1 s

resolution. The accuracy in the determination of

g

is :

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 19

The density of the material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively

1.5 %

and

1 %,

the maximum error in determining the density is:

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 20

Expression for time in terms of

G

(universal gravitational constant),

h

(Planck constant) and

c

(speed of light) is proportional to:

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 21

The diameter and height of a cylinder are measured by a meter scale to be

12 .6 \pm 0 .1 cm

and

34 .2 \pm 0 .1 cm

, respectively. What will be the value of its volume in appropriate significant figures?

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-3>Q 22

In a simple pendulum, experiment for determination of acceleration due to gravity

(g)

, time taken for

20

oscillations is measured by using a watch of

1

second least count. The mean value of time taken comes out to be

30 s

. The length of pendulum is measured by using a meter scale of least count

1 m m

and the value obtained

55.0 c m

. The percentage error in the determination of

g

is close to

If dimensions of critical velocity, vc of a liquid flowing through a tube are expressed as ηxρyrz, 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

Important Questions on Physical World and Measurement

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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