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 E_I, E_{II} and E_{III} are the percentage errors in g, that is, ({\Deltag}/g \times 100) for students I, II, and III, respectively, then [JEE Adv 2008 P1]

Correct Answer is : E1 is minimum

IIT JEE Advanced 2008 Paper 1

Section: Physics

Question : 5 of 69

Marks: +1, -0

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, (

Δg

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

[JEE Adv 2008 P1]

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

Validate

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