Frequency and Period of SHM

AP Physics 1· difficulty 4/5

L m

A simple pendulum has period 2.0 s2.0\text{ s} on Earth. What length would give a period of 1.0 s1.0\text{ s} at the same location?

  • A

    2L2L

  • B

    L/4L/4

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  • C

    L/2L/2

  • D

    4L4L

Explanation

TLT \propto \sqrt{L}. To halve the period, length must drop by a factor of 44, so new length is L/4L/4.

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