A simple pendulum is used for the calculation of g (acceleration due to gravity) at a place. the length of the pendulum is measured as l = 20.0 cm and total time taken in 30 oscillations is measured as 40 s with a stop watch of least count 0.5 s. the maximum percentage error in g can be
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The maximum error percentage in calculation of acceleration due to gravity is 1%.
The formula for a simple pendulum is g = (4π^2 L) / T^2
Least count of stop watch is 0.5 second, hence minimum error possible in stop watch is 0.1 second, because last digit (5) is insignificant.
dg = 0.1 x 0.1 = 0.01
dg (%) = 0.01 x 100 = 1%
Here, 'dg' is the error in calculation of acceleration due to gravity (g).
The formula for a simple pendulum is g = (4π^2 L) / T^2
Least count of stop watch is 0.5 second, hence minimum error possible in stop watch is 0.1 second, because last digit (5) is insignificant.
dg = 0.1 x 0.1 = 0.01
dg (%) = 0.01 x 100 = 1%
Here, 'dg' is the error in calculation of acceleration due to gravity (g).
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