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Waves and Sound — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsWaves and Sound1 Mark
MCQ
Two waves represented by the following equations are travelling in the same medium $y_1=5 \sin 2 \pi(75 t-0.25 x)$, $y_2=10 \sin 2 \pi(150 t-0.50 x)$ 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) $\frac{I_1}{I_2}=\frac{a_1^2}{a_2^2} \Rightarrow \frac{I_1}{I_2}=\frac{25}{100}=\frac{1}{4}$

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