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

From `s = ut+ (1)/(2)at^(2)`
Here s=h, u=0, a=g
`:. h= 0+ (1)/(2)"gt"^(2)= (1)/(2)"gt"^(2)= (1)/(2) xx 9.8 xx 2= 19.6`
`:. (Deltah)/(h)= 2((Deltat)/(t))= 2((0.1)/(2))= (1)/(10)` (g= constant)
or `Deltah= (h)/(10)= (19.6m)/(10)= 1.96m`