AIPMT PRELIMS2008Physics-Measurement
AIPMT PRELIMS 2008 Physics Error Analysis MCQ Question
Type: MCQ-numerical-Medium-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
8%
B
2%
C
4%
D
6%
Correct Answer
Option D
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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