A) The intensities of individual sources are 5 and 4 units respectively
B) The intensities of individual sources are 4 and 1 units respectively
C) The ratio of their amplitudes is 3
D) The ratio of their amplitudes is 2
Correct Answer: B
Solution :
\[\frac{{{I}_{\max }}}{{{I}_{\min }}}=9\Rightarrow {{\left( \frac{{{a}_{1}}+{{a}_{2}}}{{{a}_{1}}-{{a}_{2}}} \right)}^{2}}=9\Rightarrow \frac{{{a}_{1}}+{{a}_{2}}}{{{a}_{1}}-{{a}_{2}}}=3\] \[\Rightarrow \frac{{{a}_{1}}}{{{a}_{2}}}=\frac{3+1}{3-1}\Rightarrow \frac{{{a}_{1}}}{{{a}_{2}}}=2.\] Therefore \[{{I}_{1}}:{{I}_{2}}=4:1\]
You need to login to perform this action.
You will be redirected in
3 sec
