Does amplitude affect the period of a mass on a spring?

[okgo]

Homework Statement

A mass oscillating on a given spring has a period of 2s. The spring is now stretched to have an oscillation amplitude that is twice its original amplitude. Which of the following is true?

A The period is 0.5 s.

B The period is 1 s.

C The period is 2 s.

D The period is 2.8s

E The period is 4s.

Homework Equations

The Attempt at a Solution

Is it C. 2s
Because the period is independent of amplitude?

 

[Feldoh]

You are correct! But perhaps a better question is why?