If the pressure amplitude of a sound wave is halved, by what factor does the intensity of the wave decrease? By what factor must the pressure amplitude of a sound wave be increased in order to increase the intensity by a factor of 16? Explain.

Solution 10DQ Step 1 : In this question , we need to calculate the factor of pressure amplitude of sound wave such that intensity is 16 Step 2 : The relation between pressure amplitude and sound waves is given using IP 2 0 Here I - intensity = 16 P 0 pressure amplitude When pressure amplitude is halved that is when it becomes P /2 the intensity will be 0 Hence we have P 2 2 = ( 2 ) P 0 2 I = ( 2 ) × 2 Thus we Intensity as (P 0 ) × 2 2