Answer:
The frequency will still remain F
Step-by-step explanation:
Firstly, we should remember that the frequency of a simple harmonic oscillator doesn't depend on the amplitude. Rather, it depends on the spring constant, k, and the mass of the attached weight, m. This means that the change in amplitude will not lead to a corresponding change in frequency.
the frequency is represented by the formula
f = 1/2π * √(k/m),
where
f = frequency of the oscillator
k = spring constant and
m = mass attached to the spring
From the formula above, we can state that the frequency doesn't depend on the amplitude at all, and as such, the amplitude changing from A to 2A, will effect no change in the frequency F.