Question 89 of 121

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. Student No. Length of pendulum
$(cm)$ Number of oscillations
$(n)$ Total time for
$n$ oscillations Time
period
$(s)$ $1.$ $64.0$ $8$ $128.0$ $16.0$ $2.$ $64.0$ $4$ $64.0$ $16.0$ $3.$ $20.0$ $4$ $36.0$ $9.0$ (Least count of length $=0.1m$, least count for time $=0.1s$)
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 $.$