wave_mechanics interference_and_superposition_of_waves Question 20

Question: If the ratio of amplitude of two waves is 4 : 3. Then the ratio of maximum and minimum intensity will be

[MHCET 2000]

Options:

A) 16 : 18

B) 18 : 16

C) 49 : 1

D) 1 : 49

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{{I _{\max }}}{{I _{\min }}}={{( \frac{\frac{a _{1}}{a _{2}}+1}{\frac{a _{1}}{a _{2}}-1} )}^{2}}={{( \frac{\frac{4}{3}+1}{\frac{4}{3}-1} )}^{2}}=\frac{49}{1} $