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Three students S1, S2 and S3 perform an...

Three students `S_1, S_2 and S_3` perform an experiment for determining the acceleration due to gravity (g) using a simple pendulum. They use different lengths of pendulum and record time for different number of oscillations. The observations are as shown in the table.

(Least count of length = 0.1 m least count for time = 0.1 s)
If `E_1, E_2 and E_3` are the percentage errors in 'g' for students 1, 2 and 3 respectively, then the minimum percentage error is obtained by student no._____.

Text Solution

Verified by Experts

The correct Answer is:
1
`T=t/n=2pisqrt(1/g)`
`implies g = (4pi^2l)/(T^2)`
`implies (Deltag)/g xx100= (Deltal)/l xx100 + 2(DeltaT)/T xx100`
`=((Deltal)/l+(2Deltat)/(nT))100%`
`E_1=20/64%`
`E_2=30/64%`
`E_3 =19/18 %`
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