If you were to double the amplitude and halve the frequency of a wave on a string while keeping the amplitude of the wave constant,the rate at which energy is delivered by the wave would
A)double.
B)quadruple.
C)be reduced 50%.
D)be reduced to 25% of its previous value.
E)be unchanged.

Question

Quizplus · Accepted Answer

Doubling the amplitude while halving the frequency, but keeping the amplitude constant, is contradictory. However, if we focus on the energy aspect, the energy transmitted by a wave is proportional to the square of its amplitude and is independent of its frequency. Therefore, if the amplitude is somehow kept constant despite the initial statement, the energy delivery rate by the wave would remain unchanged.

If You Were to Double the Amplitude and Halve the Frequency