Wave Mechanics Question 904

Question: Beats are produced with the help of two sound waves of amplitudes 3 and 5 units. The ratio of maximum to minimum intensity in the beats is

[MP PMT 1999]

Options:

A) 2 : 1

B) 5 : 3

C) 4 : 1

D) 16 : 1

Show Answer

Answer:

Correct Answer: D

Solution:

$ \frac{{I _{\max }}}{{I _{\min }}}={{( \frac{a _{1}+a _{2}}{a _{1}-a _{2}} )}^{2}}=\frac{{{(5+3)}^{2}}}{{{(5-3)}^{2}}}=\frac{16}{1} $