Verification of the relationship between the mass of a body suspended from a helix spring and its period of oscillation

If the suspended mass is $m$, the spring constant of the spring is $k$ and the period of oscillation is $T$,

$$T=2\pi\sqrt{\frac{m}{k}}$$ $$T^{2}=(\frac{4\pi^{2}}{k})m$$

If the graph of $T^{2}$ against $m$ is a straight line through the origin, the relation $T^{2}\propto m$ is verified.

1. Suspend helix spring vertically from a fixed stand as shown in Figure 11.1 and from the lower end of the spring hang the initial weight of the set of weights (the dark portion).
2. Attach an indicator horizontally to the end of the spring.
3. When the spring is at rest and close to its path of oscillation as shown in Figure 11.1, connect the locating pin to the stand in line with the indicator.
4. Pull down the suspended weight slightly and release it to make it oscillate in a vertical plane.
5. Measure the time taken for 50 oscillations using the stopwatch. Obtain this measurement again.
6. Repeat the experiment by increasing $m$ for about six values of $m$.