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Let the source propagate a sound wave whose intensity at a point (initially) be I. Suppose we consider a case when the amplitude of the sound wave is doubled and the frequency is reduced - Physics

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प्रश्न

Let the source propagate a sound wave whose intensity at a point (initially) be I. Suppose we consider a case when the amplitude of the sound wave is doubled and the frequency is reduced to one-fourth. Calculate now the new intensity of sound at the same point?

संख्यात्मक

उत्तर

Given: a = 2a

f = `"f"_0/4`

Formula: I ∝ a2f2

 To find: Inew = ??

Inew ∝ a2f2

`"I"_"old" prop "a"_0^2  "f"_0^2`

`"I"_"new" prop (2"a"_0)^2 ("f"_0/4)^2`

`therefore "I"_"new" prop 4/16 "a"_0^2  "f"_0^2`

`=> "I"_"new" = 1/4 "I"_"old"`

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अध्याय 11: Waves - Evaluation [पृष्ठ २७८]

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सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 11 Waves
Evaluation | Q IV. 6. | पृष्ठ २७८
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