Physics

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


ANSWER

$$1.96m$$


SOLUTION
$$\dfrac{1}{2}gt^2=H$$
differentiation 
$$\dfrac{1}{2}\times g\times (2t)\times dt=dH$$
$$gtdt=dH$$
$$dt=$$ error in time
$$dx=$$cross in H
$$9.8\times 2\times\dfrac{1}{10}=dH$$
$$1.96=dH$$
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