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 meters. Take the acceleration due to gravity g=10 ms−2 and the velocity of sound is 300 ms−1. Then the fractional error in the measurement, δL/L, is closest to

A person measures the depth of a well by measuring the time interval b

1.	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 meters. Take the acceleration due to gravity g=10 ms−2 and the velocity of sound is 300 ms−1. Then the fractional error in the measurement, δL/L, is closest to
Answer» 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 $δ T = 0.01$ seconds and he measures the depth of the well to be $L = 20$ meters. Take the acceleration due to gravity $g = 10 m s^{- 2}$ and the velocity of sound is $300 m s^{- 1}$ . Then the fractional error in the measurement, $δ L / L$ , is closest to

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