Question

In science, Bob learns that the energy of a wave is directly proportional to the square of the waves amplitude. If the energy of a wave is 4 J, what should he predict as the amplitude of the wave? A) 1 J B) 2 J C) 4 J D) 8 J

Answer 1

Jamuuj ExpertThe energy of a wave is directly proportional to the square of the waves amplitude. Therefore, E = A² where A is the amplitude. This therefore means when the amplitude of a wave is doubled the energy will be quadrupled, when the amplitude is tripled the energy increases by a nine fold and so on.Thus, in this case if the energy is 4J, then the amplitude will be √4 = 2 .

Answer 2

B) 2 J

Step-by-step explanation:

2 J

Since E ∝ amplitude2 then as the amplitude is doubled the energy is quardrupled.

Plugging in to check

amplitude2=E

amplitude2=4

amplitude2

=

4

amplitude=

4

amplitude=2