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

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

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 ms−2g = 10 \text{ ms}^{-2} and the velocity of sound is 300 ms−1300 \text{ ms}^{-1}. Then the fractional error in the measurement, δL/L\delta L/L, is closest to (1) 0.2% (2) 1% (3) 3% (4) 5%

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