MCQ
Two waves represented by the following equations are travelling in the same medium ${y_1} = 5\sin 2\pi (75t - 0.25x)$, ${y_2} = 10\sin 2\pi (150t - 0.50x)$ The intensity ratio ${I_1}/{I_2}$ of the two waves is
- A$1:2$
- ✓$1:4$
- C$1:8$
- D$1:16$
✓
Answer
Correct option: B.
$1:4$
b
(b) $\frac{{{I_1}}}{{{I_2}}} = \frac{{a_1^2}}{{a_2^2}} $
(b) $\frac{{{I_1}}}{{{I_2}}} = \frac{{a_1^2}}{{a_2^2}} $
$\Rightarrow \frac{{{I_1}}}{{{I_2}}} = \frac{{25}}{{100}} = \frac{1}{4}$
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