AIPMT MAINS2010Physics-Kinematics

AIPMT MAINS 2010 Physics Error Analysis MCQ Question

Type: MCQ-numerical-Medium-Class 11

A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate gg, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1e_1 and e2e_2 respectively, the percentage error in the estimation of gg is

A

e²e1e_²⁻ e_1

B

e1+2e2e_1 + 2e_2

C

e¹+e2e_¹⁺ e_2

D

e12e2e_1 - 2e_2

Correct Answer

Option B

Detailed Explanation

The error in gg is derived from the formula g=2st2g = \frac{2s}{t^2}, leading to Δg/g=e1+2e2\Delta g/g = e_1 + 2e_2.

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