A person measures the depth of a well by measuring the time interval between dropping a…

Physics · JEE Advanced · NTA ExamsKinematics

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 seconds and he measures the depth of the well to be L = 20 metres. Take the acceleration due to gravity g = 10 m s–2 and the velocity of sound is 300 m s–1. Then the fractional error in the measurement, δL/L, is closest to
  1. 5%
  2. 1%
  3. 3%
  4. 0.2%

Answer

(C) 3%

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