In an experiment to measure the height of a bridge by dropping stone into water underneath, if the error in measurement of time of 0.1 s at the end of 2s, then the error in estimation of height of bridge will be

Options

A. 0.49 m
B. 0.98 m
C. 1.96 m
D. 2.12 m

Answer

C

Explanation

`h=ut +1/2 at^2`
`u =0`
`h=1/2 "gt"^2 =1/2 xx9.8 xx(2)^2 = 19.6 m`
`implies (Deltah)/h=2 (Deltat)/t =2 ((0.1)/2) = 0.1`
`Deltah = 0.1 xx19.6 = 1.96 m`