Physics Crash Course NEET>Chapter 1 - Physical World and Measurement>Level 1>Q 64

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Consider a physical quantity, $Z$ expressed as $Z = \frac{A B^{\frac{1}{2}}}{C^{2}} .$ If the relative error in the magnitudes of $A, B$ and $C$ is $1 %$ then the relative error in $Z$ will be,

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Important Questions on Physical World and Measurement

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Physics Crash Course NEET>Chapter 1 - Physical World and Measurement>Level 1>Q 65

A student measured the diameter of a small steel ball using a screw gauge of least count

0.001 cm .

The main scale reading is

5 mm

and zero division of the circular scale coincides with

25

divisions above the reference level. If the screw gauge has a zero error of

- 0.004 cm .

the correct diameter of the ball is__________

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Physics Crash Course NEET>Chapter 1 - Physical World and Measurement>Level 1>Q 66

The distance of a circle is

2.486 m

. Its area with due regard to signifiant figures is (Given

π = 3.142

)

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Physics Crash Course NEET>Chapter 1 - Physical World and Measurement>Level 1>Q 67

The length of a rectangular plate is measured by a meter scale and is found to be

10.0 cm .

Its width is measured by vernier calipers as

1.00 cm .

The least count of the meter scale and vernier calipers are

0.1 cm

and

0.01 cm

respectively. Maximum permissible error in area measurement is -

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Physics Crash Course NEET>Chapter 1 - Physical World and Measurement>Level 1>Q 68

The length of a rectangular plate is measured by a meter scale and is found to be

10.0 cm

. Its width is measured by vernier calipers as

1.00 cm

. The least count of the meter scale and vernier calipers are

0.1 cm

and

0.01 cm

, respectively (obviously). Maximum permissible error in area measurement is -

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Physics Crash Course NEET>Chapter 1 - Physical World and Measurement>Level 1>Q 69

For a cubical block, error in measurement of sides is

+ 1 %

and error in measurement of mass is

+ 2 %

, then maximum possible error in density is,

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Physics Crash Course NEET>Chapter 1 - Physical World and Measurement>Level 1>Q 70

To estimate

g

from

g = 4 π^{2} \frac{L}{T^{2}}

, error in measurement of

L

is

\pm 2 %

and error in measurement of

T

is

\pm 3 %

. The error in estimated

g

will be

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Physics Crash Course NEET>Chapter 1 - Physical World and Measurement>Level 1>Q 71

The least count of a stop watch is

0.2

second. The time of

20

oscillations of a pendulum is measured to be

25

seconds. The percentage error in the time period is

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Physics Crash Course NEET>Chapter 1 - Physical World and Measurement>Level 1>Q 72

If the error in measuring the diameter of a circle is

4 %

, then the error in the radius of the circle will be