Question

In an experiment to determine the acceleration due to gravity g using the simple pendulum, T2 was plotted on the vertical axis and l on the horizontal axis. The graph

A. has an intercept on the T2 axis
B. has an intercept on the l axis
C. pass through the origin
D. is parallel to the l axis

Answer 1

Answer on Question#55122 - Physics - Computational Physics

In an experiment to determine the acceleration due to gravity $g$ using the simple pendulum, $T^2$ was plotted on the vertical axis and $l$ on the horizontal axis. The graph

A. has an intercept on the $T^2$ axis

B. has an intercept on the $l$ axis

C. pass through the origin

D. is parallel to the $l$ axis

Solution:

The period of the pendulum is given by

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

Therefore

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

Its graph correspond to the line which passes through the origin.

Answer: C.

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