Question

Analyze the data to identify the mathematical relationship between the

amplitude and energy of a mechanical wave. If mechanical wave A has an

amplitude of 1 cm and mechanical wave B has an amplitude of 2 cm, what

will be the relationship between the energy carried by the two waves?

Answer 1

Energy of of Wave B is four times the energy of Wave A

Step-by-step explanation:

Answer 2

Energy of of Wave B is four times the energy of Wave A

Step-by-step explanation:

As we know, the energy carried by a wave is directly proportional to the square of the amplitude of the wave. Mathematically, this expression can be expressed as

`E \alpha A^2`

Energy of wave A
`\alpha 1^2`

Energy of wave B
`\alpha 2^2`

Energy of wave A/Energy of wave B

`= (1^2)/(2^2) \\= (1)/(4)`

This means that the Energy of of Wave B is four times the energy of Wave A