Question

The equation for the energy of a mechanical wave is E = 1 / 2μ4π2f2A2λ. When the wavelength is doubled and everything else stays the same, the energy ...

Answer 1

The total energy associated with a mechanial wave is given by,

where,

Therefore,

therefore when all other quanties remaining constant, the relation between Energy and wavelenth is given by

When the wavelength is doubled and everything else stays the same, then,

Now equation (2) divided by (1) gives,

Hence the energy will be doubled when the wavelength is doubled.