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An object falls for a time of $0.25 s$ . The acceleration of free fall is $9.81 m s^{- 2}$ . The displacement is calculated. Which of the following gives the correct number of significant digits for the calculated value of the displacement of the object?

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Important Questions on Physics and Measurement

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 28

A square shape plate has area $(400 \pm 0.4) m^{2}$ . The side length of the plate is

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 29

The length, breadth and thickness of a strip are

(10 .0 \pm 0 .1) cm

(1 .00 \pm 0 .01) cm

and

(0 .100 \pm 0 .001) cm

, respectively, then the most probable error in its volume will be

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 30

The circular scale of a screw gauge has

50

divisions and a pitch of

0.5 mm

. Find the diameter of the sphere. The main scale reading is

2 mm

EASY

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 31

External and internal diameters of a hollow cylinder are measured to be

(4.23 \pm 0.01) cm

and

(3.89 \pm 0.01) cm

. The thickness of the wall of the cylinder is

EASY

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 32

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is

0.5 mm

and there are

50

divisions on the circular scale. The reading on the main scale is

2.5 mm

and that on the circular scale is

20

divisions. If the measured mass of the ball has a relative error of

2 %

, the relative percentage error in the density is

EASY

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 33

A spectrometer gives the following reading when used to measure the angle of the prism:
main scale reading $= 58.5$ degree, vernier scale reading $= 9$ division. Given that one division on main scale corresponds to $0.5$ degree, $30$ division of vernier scale matches with $29$ division of main scale. The angle of prism from above data:

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JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 34

It is known that for a simple pendulum, time period is given by

T = 2 π \sqrt{\frac{L}{g}}

. If the measured value of

L

10 c m

known to

1 m m

accuracy and also time for

100

oscillations of the pendulum is found to be

50 s

using a wrist watch of

1 s

resolution, then find the error in the determination of

g

EASY

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 35

Identify the instrument having minimum least count out of the following options.

An object falls for a time of 0.25 s. The acceleration of free fall is 9.81 m s-2. The displacement is calculated. Which of the following gives the correct number of significant digits for the calculated value of the displacement of the object?

Important Questions on Physics and Measurement

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An object falls for a time of $0.25 s$ . The acceleration of free fall is $9.81 m s^{- 2}$ . The displacement is calculated. Which of the following gives the correct number of significant digits for the calculated value of the displacement of the object?