A student measures that distance traversed in free fall of a body, initially at rest in given time. He uses this data to estimated `g`, the acceleration due to gravity. If the maximum percentage error in measurement of the distance and the time are `e_(1)` and `e_(2)`, respectively, the percentage error in the estimation of `g` is

Options

A. `e_2 -e_1`
B. `e_1 +2e_2`
C. `e_1 +e_2`
D. `e_1 -2e_2`

Answer

B

Explanation

`h=ut +1/2 at^2`
`h=1/2 "gt"^2 , u=0`
`g=(2h)/t implies (Deltag)/g xx100 =((Deltah)/h+2(Deltat)/t)xx100`
`= (e_1+2e_2)`