Student 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
If E I , E II and EIII are the percentage errors in g, i.e., 
for students I, II and III, respectively
Text Solution
Verified by ExpertsB
The least count of length Δ λ = 0.1 cm
The least count of time Δ t = 0.1 s
% error of g = 
× 100
T = 2 π 
⇒ g = 
= 
= 
For student I 
= 
E I = 
= 
For student II 
= 
E II = 
= 
For student III 
= 
E III = 
= 
E I is least.
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