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How many times will he hear a minimum in sound intensity?

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How many times will he hear a minimum in sound intensity?

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Text solutionVerified

Let the speed of sound in air is

340 m / s

So,

v = f λ

\frac{340}{200} = λ = 1.7 m

Now, for minima

△ x

would be a odd multiple of

λ /2

i.e

△ x = (2 n - 1) \frac{λ}{2}

Let the distance of speaker from ground be

x

But it is negligible.

So path difference is,

△ x = L^{2} + (x + d)^{2} - L^{2} + x^{2}

⟹ L^{2} + x^{2} - L

Now,

\frac{λ}{2} = 0.85 m

and

\frac{3 λ}{2} = 2.55 m

and

\frac{5 λ}{2} = 4.25 m

For first two cases

L

is positive but after that

L

will be negative i.e no length is possible after

3 λ /2

So, Answer is

2

L = 8.9 m

and

1.8 m

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Question Text	How many times will he hear a minimum in sound intensity?
Answer Type	Text solution:1
Upvotes	150

How many times will he hear a minimum in sound intensity?

Text solutionVerified

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