Question

the sound intensity 5 m from a point source is 0.50 w/m² the power output of source is?

a) 160 w

b) 266 w

c) 320 w

d) 390 w


detailed solution please​

Answer 1

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●Power & Intensity

ANSWER ➫ (a) 160 w

⭕Explanation ⤵⤵

We know ,

Power = Intensity × Area ______(1)

Here , Area is the Surface area of Sphere that is = 4πr²

Now putting in equation( 1)

Power = 0.5 × 4π × 5²

Power = 160 w approx

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Answer 2

Given:

• Sound intensity is 0.5 Watt/m²
• Distance from source is 5 metre

To find:

• Power output of speaker ?

Calculation:

Intensity of sound refers to the power output per unit surface area at a particular distance from the source.

$I = \dfrac{power}{area}$

• The area will be 4πr² , because the source is a point source.

$\implies \:I = \dfrac{power}{4\pi {r}^{2} }$

$\implies \:power =I \times 4\pi {r}^{2}$

$\implies \:power =0.5 \times (4\pi \times {5}^{2} )$

$\implies \:power \approx \: 160 \: watt$

So, the power output of the speaker is approximately 160 watts.