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IIT JEE Advanced 2008 Paper 1

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Question : 5

Total: 69

Students I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different lengths of the pendulum and/or record time for different number of oscillations. The observations are shown in the table.
Least count for length = 0.1 cm.
Least count for time = 0.1 s.

Student	Length of pendulum (cm)	Number of oscillations (n)	Total time for (n) oscillations (s)	Time period (s)
I	64.0	8	128.0	16.0
II	64.0	4	64.0	16.0
III	20.0	4	36.0	9.0

If EI, EII and EIII are the percentage errors in g, that is, (

×100) for students I, II, and III, respectively, then

E1 = 0
E1 is minimum
E1 = En
En is maximum

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