A) \[50:18\]
B) \[25:9\]
C) \[3:5\]
D) \[5:3\]
Correct Answer: D
Solution :
In general, the intensity of a wave is proportional to the square of its amplitude. This has an important implication: relative intensity can be obtained by squaring relative amplitude. \[I\,\,\alpha \,\,\,{{a}^{2}}\] \[\therefore \] \[\frac{{{a}^{2}}}{{{a}^{2}}}=\sqrt{\frac{{{I}_{2}}}{{{I}_{2}}}}=\sqrt{\frac{25}{9}}=\frac{5}{3}\] i.e., \[{{a}_{1}}:{{a}_{2}}=5:3\] So if the intensity ratio is \[25:9,\] the amplitude ratio will be\[5:3\].
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