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Korvikt [17]
2 years ago
8

By what factor must the amplitude of a sound wave be increased in order to increase the intensity by a factor of 9?a. 9 b. 2 c.

4 d. 3
Physics
2 answers:
jolli1 [7]2 years ago
6 0

Answer:

3 times option (d) is correct

Explanation:

Initial intensity = Io

final intensity = 9 Io

initial amplitude = A

Final amplitude = ?

let the final amplitude is A'.

Intensity of a wave is directly proportional to the square of the amplitude of the wave.

I ∝ A²

So, Io ∝ A²   ... (1)

9Io ∝ A'²     .... (2)

Divide (2) by (1)

9 = A'²/A²

A' = 3 A

So, the amplitude becomes 3 times.

Marta_Voda [28]2 years ago
4 0

Answer:

option D

Explanation:

given,

intensity\ \alpha \ (Amplitude)^2

increase the intensity by factor of 9

    I₁ = I₀

    I₂ = 9 I₀

now,

\dfrac{I_1}{I_2}=\dfrac{A_1^2}{A_2^2}

\dfrac{I_0}{9I_0}=(\dfrac{A_1}{A_2})^2

(\dfrac{A_1}{A_2})^2=\dfrac{1}{9}

\dfrac{A_1}{A_2}=\dfrac{1}{3}

      A₂ = 3 A₁

hence, amplitude increase with the factor of 3

so, the correct answer is option D

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