Which of the following would not affect the period of a simple harmonic oscillator? A. changing a pendulum's length B. changing the mass attached to a spring C. changing the amplitude of oscillations D. changing out the spring while keeping the same mass
Time period of a pendulum is
where, L is the length of the pendulum. So, if the length L
changes, then, the period T also changes. So, option (A) is not
correct.
For a mass m attached to a spring of spring constant k, the time
period is given by
And so, changing the mass m, changes the time period T. So, option
(B) is not correct.
Changing the spring changes k and so, changes the time period. And
so, option (D) is not correct.
And the time period in both the cases does not depend upon the
amplitude of oscillations. So, changing the amplitude of
oscillations does not change the time period T.
So, option (C) is correct.
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