The intensity of a sound wave:

$\overline{){\mathbf{I}}{\mathbf{=}}{\mathbf{2}}{{\mathbf{\pi}}}^{{\mathbf{2}}}{\mathbf{v}}{\mathbf{\rho}}{{\mathbf{f}}}^{{\mathbf{2}}}{{\mathbf{A}}}^{{\mathbf{2}}}}$

For a given wave, the velocity, density, and frequency are the same.

Therefore, intensity, I is directly proportional to A^{2}.

**(a)**

Given that I_{1} and I_{2} are the intensities of the sound wave and A_{1} and A_{2} are the amplitudes, then we have:

I_{1}/I_{2} = (A_{1}/A_{2})^{2}

If the amplitude of a sound wave is tripled, (a) by what factor will the intensity increase? (b) By how many dB will the sound level increase?

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