6) For this question, we want to figure out how the period is affected when we double the amplitude of a spring. There is already a know equation for the period of a spring.
If you want to see a proof of this equation, here's a video you can check out: SHM Period of a Spring. Essentially, we know that the ratio k/m is equal to (2πf)^2. Knowing that frequency is the reciprocal of period, we solve for the period and come up with the equation above.
This equation proves that if the amplitude of the oscillation changes, the period will still stay the same.
Answer: C
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