AIPMT MAIN2008Physics-Units and Measurements

AIPMT MAIN 2008 Physics Error Analysis MCQ Question

Type: MCQ-numerical-Easy-Class 11

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

A

2%

B

4%

C

6%

D

8%

Correct Answer

Option C

Detailed Explanation

The volume of a sphere is proportional to the cube of its radius. Therefore, the percentage error in volume is three times the percentage error in radius, which is 6%.

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