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Q-The length of a simple pendulum is about 100cm known to have a accuracy of 1mm.Its period of oscillation is 2s determined by measuring the time for 100oscillations using a clock of 0.1s resolution.What is the accuracy in the determined value of g?
(a) 0.2%
(b) 0.5%
(c) 0.1%
(d) 2%
SINCE WE KNOW THAT,
T = 2 PI (L/G)^1/2
G = 4 (PI)^2 L/G
AS WE KNOW, THERE CAN BE ERROR IN TIME & LENGTH BUT SINCE TIME IS MEASURED BY A SCALE WHICH 0.1 S, AND MEASURED TIME IS 2 S HENCE THERE IS NO UNCERTAINITY IN TIME
WE KNOW THAT ERROR COMBINES, 2(A''/A),WHERE AIS LENGTH, = 2(0.1/100)= 0.002
PERCENTAGE ERROR= 0.002 X100 = 0.2 % ANS......
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