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Important questions on Errors In Measurement

HARD

If error in measuring the distance of a planet from sun is 0.4% and in measuring the mass of sun is 0.6% , then error in measuring the time period of planet around the sun is

A

1.8%

B

0.6%

C

1%

D

0.9%

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HARD

In an experiment, the following observations were recorded:
, diameter . Taking and using the formula, Y =, find the maximum permissible error in Y.

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HARD

Which of the following is the most accurate instrument?

A

A scale whose least count is 0.1 cm.

B

A vernier caliper in which 10 vernier divisions coincide with 9 main scale divisions whose main scale is millimetre scale.

C

A microscope in which 50 vernier divisions coincide with 49 main scale divisions whose main scale is millimetre scale.

D

A microscope in which 50 vernier divisions coincide with 49 main scale divisions and in the main scale there are 20 divisions in 1 cm.

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HARD

Two resistors of resistances  and areconnected in parallel combination.Calculate the equivalent resistance.

A

B

C

D

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HARD

A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is seconds and he measures the depth of the well to be meters. Take the acceleration due to gravity and the velocity of sound . Then the fractional error in he measurement , is closest to

This question has multiple correct options
A

B

C

D

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HARD

The radius of a sphere is measured to be . Calculate the percentage error in the measurement of its volume.

A

%

B

%

C

%

D

%

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HARD

A beam balance of unequal arm length is used by an unscruplus trader. When an object is weighed on left pan. The weight found to be . When the object is weighed on the right plan, the weight is found to be . If , the correct weight of the object is

A

B

C

D

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HARD

An experiment measures quantities a, b, c and x is calculated from . If the maximum percentage error in a, b and c are 1%, 3% and 2% respectively, the maximum percentage error in x will be

A

%

B

%

C

%

D

%

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HARD

A physical quantity is related to four measurable quantities and as follows: The percentage error in the measurement of and are and respectively. What is the percentage error in quantity ? If the value of calculated on the basis of the above relation is , to what value should you round off the result?

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HARD

The time period of a simple pendulum is given by the relation . The measured values of length and period of oscillations are and respectively. The percentage error in the determination of is

A

B

C

D

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