None of the previous answers on Chegg seem to be correct. Help would be greatly

Question

None of the previous answers on Chegg seem to be correct. Help would be greatly appreciated. Thanks!

Transverse waves are being generated on a rope under constant tension. Determine the factor by which the required power is changed in each of the following situations.

(a) The amplitude is doubled, and the angular frequency is halved.
final/initial = ______

(b) Both the wavelength and the amplitude are doubled.
final/initial = ______

(c) Both the length of the rope and the wavelength are halved.
final/initial = ______

(d) The length of the rope is doubled, and the angular frequency remains constant.
final/initial = ______

Explanation / Answer

a)

power is proportional to A^2w^2 Ais the amplitude wis the frequency
final= (2w)^2 * (A/2)^2 = A^2w^2
initial=a^2w^2
final /initial=1

b)

final=(A/2)^2 (w/2)^2 =A^2 w^2/4
final /initial=1/4

c)
power is inversely proportional to length
final/initial=1/2

d)

final/initial=1/1

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