Question

In a simple pendulum experiment,  T2/s2
is plotted on the vertical axis while ------------- is plotted on the horizontal axis

A. l2/m2
B. 1/lcm-1
C. l/cm
D. logl

Answer 1

Answer on Question #55636, Physics / Mechanics | Relativity

In a simple pendulum experiment, $T^2 / s^2$ is plotted on the vertical axis while --- is plotted on the horizontal axis

A. $I^2 / m^2$

B. $1 / I \, \text{cm}^{-1}$

C. $I / \text{cm}$

D. logI

Solution:

The period of a simple pendulum can be found by

$$T = 2 \pi \sqrt {\frac {l}{g}}$$

Therefore, for small amplitudes the period of a simple pendulum depends only on its length and the value of the acceleration due to gravity.

If both sides of Equation are squared then

$$T^2 = \frac{4 \pi^2 l}{g}$$

A graph of $T^2$ versus $l$ should result in a straight line.

The period squared is the dependent variable and should be plotted on the y axis. The length is the independent variable and should be plotted on the x axis.

Answer: C. $I / \text{cm}$

https://www.AssignmentExpert.com