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 = 0.1s
Student |
Length of the 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, i.e., `((Deltag)/g xx 100)` for students I, II and III, respectively,