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Question: Answered & Verified by Expert
Two waves represented by the following equations are travelling in the same medium
$y_1=5 \sin 2 \pi(75 t-0.25 x), y_2=10 \sin 2 \pi(150 t-0.50 x)$
PhysicsWaves and SoundJEE Main
Options:
  • A $1: 2$
  • B $1: 4$
  • C $1: 8$
  • D $1: 16$
Solution:
1434 Upvotes Verified Answer
The correct answer is: $1: 4$
$\frac{I_1}{I_2}=\frac{a_1^2}{a_2^2} \Rightarrow \frac{I_1}{I_2}=\frac{25}{100}=\frac{1}{4}$

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