Question

Two waves are represented by the folLowing equations :

y₁ = 5 sin 2p (10t – 0.1x) and y₂ = 10 sin 2p (20t– 0.2x)

Ratio of intensities I₂/I₁ will be –

• A. 1
• B. 2
• C. 16
• D. 4

Answer 1

Answer: (C)

16

Answer 2

$\frac{I_{2}}{I_{1}}$ = $\frac{a_{2}^{2}n_{2}^{2}}{a_{1}^{2}n_{1}^{2}}$ = $\left( \frac{10}{5} \right)^{2}$× $\left( \frac{2}{1} \right)^{2}$= 16 : 1