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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Single Correct Medium Published on 18th 08, 2020
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