Question on: JAMB Physics - 2020
If in a simple pendulum experiment the length of the inextensible string is increased by a factor or four, its period is increased by a factor of?
A
4
B
\(\frac{\pi}{2}\)
C
\(\frac{1}{4}\)
D
2
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Correct Option: D
The period (T) of a simple pendulum is given by the formula:
T = 2Οβ(L/g)
where:
* L is the length of the string
* g is the acceleration due to gravity
If the length (L) is increased by a factor of four, the new length (L') = 4L. The new period (T') will be:
T' = 2Οβ(4L/g) = 2Ο * 2β(L/g) = 2 * 2Οβ(L/g) = 2T
Therefore, the period is increased by a factor of 2.
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