Question

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 g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e₁ and e₂ respectively, the percentage error in the estimation of g is

(a) e₂ - e₁

(b) e₁ + 2e₂

(c) e₁+ e₂

(d) e₁ - 2e₂

Answer 1

Correct Option (b) e₁ - 2e₂

Explanation:

From the relation

Taking natural logarithm on both sides, we get

For maximum permissible error.

According to problem