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Two waves of the same pitch have amplitudes in the ratio 1 : 3 What will be the ratio of their i. loudness, ii. pitch?

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Questions

Two waves of the same pitch have amplitudes in the ratio 1 : 3 What will be the ratio of their

  1. loudness,
  2. pitch?

Two waves of the same pitch have amplitudes in the ratio 1 : 3. What will be the ratio of their

  1. loudness, and
  2. frequencies ?
Numerical
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Solution

  1. Loudness ∝ (amplitude)2
    Loudness is proportional to amplitude square Ratio of loudness = `"L"_1/"L"_2 =((a_1)^2)/((a_2)^2)`
    = `(1)^2/(3)^2 = 1\/9`
    = 1: 9
  2. Frequency of the sound wave has no effect on amplitude.
    so, frequency remains the same if the pitch is unchanged.
    ∴ `"Pitch of first wave"/"Pitch of second wave"`=`1/1`
    = 1 :1
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Chapter 7: Sound - Numericals [Page 137]

APPEARS IN

Selina Concise Physics [English] Class 8 ICSE
Chapter 7 Sound
Numericals | Q 1 | Page 137
Selina Concise Physics Part 2 [English] Class 10 ICSE
Chapter 7 Sound
EXERCISE - 7 (C) | Q 4. | Page 173

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