#### If the amplitude of sound is doubled and the frequency reduced to one-fourth, the intensity of sound at the same point will be Option 1) Increasing by a factor of 2 Option 2) Decreasing by a factor of 2 Option 3) Decreasing by a factor of 4 Option 4) Unchanged

As we learnt in

Intensity of the wave -

mass density

angular frequency

Amplitude

Wave speed

- wherein

flow of energy per unit area of cross section of the string in the unit time is known as intensity of wave.

Intensity of sound

Option 1)

Increasing by a factor of 2

This option is incorrect.

Option 2)

Decreasing by a factor of 2

This option is incorrect.

Option 3)

Decreasing by a factor of 4

This option is correct.

Option 4)

Unchanged

This option is incorrect.