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MechanicsMedium JEE physics MCQ

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 $g=10 \mathrm{~ms}^{-2}$ and the velocity of sound is $300 \mathrm{~ms}^{-1}$. Then the fractional error in the measurement, $\delta L / L$, is closest to
  1. A. $0.2 \%$
  2. B. $1 \%$
  3. C. $3 \%$
  4. D. $5 \%$

Solution

The correct option is **B**.

PHYSICS

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Question
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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 δT=0.01\delta T=0.01 seconds and he measures the depth of the well to be L=20L=20 meters. Take the acceleration due to gravity g=10 ms2g=10 \mathrm{~ms}^{-2} and the velocity of sound is 300 ms1300 \mathrm{~ms}^{-1}. Then the fractional error in the measurement, δL/L\delta L / L, is closest to
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Mechanics — Medium JEE Physics MCQ | MyGoalPrep