A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is \delta=T 0.01 seconds and he measures the depth of the well to be L = 20 meters. Take the acceleration due to gravity g=10ms^{-2} and the velocity of sound is 300ms^{-1} Then the fractional error in the measurement,{\deltaL}/L, is closet to : [JEE Adv 2017 P2]

Units and Measurements

Section: Physics

Question : 18 of 34

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A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is δ=T0.01 seconds and he measures the depth of the well to be L = 20 meters. Take the acceleration due to gravity g=10ms−2 and the velocity of sound is 300ms−1 Then the fractional error in the measurement,

δL

, is closet to :

[JEE Adv 2017 P2]

0.2%
5%
1%
3%

Validate

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