The time period of oscillation of a simple pendulum is given by
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the time period of a simple pandulum is depends on the length of pandulum
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Explanation:
The only factors concerned with T are of L and g
thus we can write
g = K L/T2
where K is a constant
taking logatithm on both sides
log g = log K + log L +2log T
?g/g = ?L/L + 2* ?T/T
In terms of percentage,
(?g/g)*100 = (?L/L)*100 + 2* (?T/T)*100
Here the resolution or accuracy are that values that could occur as errors .
Time period T= Time of one oscillation= t/n=Total time/ no of oscillation-
Percentage error in L =
(?L/L)*100 = 100 *(0.1/10) =1%
Percentage error in T =
(?T/T)*100 = 100 *(1/50) =2%
Percentage error in g =
(?g/g)*100 = 1% +2 *2%= 5%
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