Question

While bob is studying waves in science and he learns that the energy of a wave is directly proportional to the square of the waves amplitude. If the amplitude of a wave changes from 2m to 4m, what should he predict as the effect on enerygy of the energy of the wave

Answer 1

Energy is quadrupled

Step-by-step explanation:

Given that :

Energy of a wave is directly proportional to the square of its amplitude ;

If energy = E

Amplitude of wave = A

E α A²

E = kA²

If A = 2m

E1 = k2²k

E1 = 4k

E1 = 4k

If A = 4m

E2 = 4²k

E2 = 16k

E2 = 16k

E2 = 4 * E1 ; hence, E2 is quadrupled