wave_mechanics interference_and_superposition_of_waves Question 15

Question: The superposing waves are represented by the following equations : $ y _{1}=5\sin 2\pi (10t-0.1x) $ , $ y _{2}=10\sin 2\pi (20t-0.2x) $ Ratio of intensities $ \frac{{I _{\max }}}{{I _{\min }}} $ will be

[AIIMS 1995; KCET 2001]

Options:

A) 1

B) 9

C) 4

D) 16

Show Answer

Answer:

Correct Answer: B

Solution:

$ a _{1}=5,a _{2}=10 $

$ \Rightarrow $ $ \frac{{I _{\max }}}{{I _{\min }}}=\frac{{{(a _{1}+a _{2})}^{2}}}{{{(a _{1}-a _{2})}^{2}}}={{( \frac{5+10}{5-10} )}^{2}}=\frac{9}{1} $