Question

To obtain five sets of readings of the time taken for 20 oscillations of a simple
pendulum of lengths about 70, 80, 90, 100 and 110 cm; calculate the time periods (T) and their squares (T2) for each length (l). Plot a graph of l vs. T2. Draw the best - fit straight - line graph. Also, obtain its slope. Calculate the value of g in the laboratory. It is 4π 2 x slope​

Answer 1

The time period of a simple pendulum is
T=2π
g
l
​

​

Here, l is the length of the pendulum.
On squaring both sides
T
2
=
g
4π
2
l
​

⇒T
2
∝l
So, the graph between time period T and length l of the pendulum is a parabola




Follow the given picture