Two sound waves in air have wavelength ratio 1:3. then their frequency ratio will be

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

(i) 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`

(ii) 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.

Concept: Properties of Sounds

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  • Correct Answer: C

    Solution :

      We know, \[v=f\lambda \] \[\Rightarrow \]\[f=\frac{f}{\lambda }\]\[\Rightarrow \]\[f\propto \frac{1}{\lambda }\] As wave length ratio = 1 : 3 \[\therefore \]frequency ratio = 3 : 1     

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Page 2

  • Correct Answer: C

    Solution :

      \[\lambda =66m\] \[f=?\] \[v=330\text{ }m/s\] We know that \[v=f\lambda \] \[\Rightarrow \]\[f=\frac{V}{\lambda }=\frac{330}{66}=5Hz\]     

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Page 3

  • Correct Answer: D

    Solution :

      Not Available

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Page 4

  • Correct Answer: D

    Solution :

      Not Available

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Page 5

  • Correct Answer: B

    Solution :

      Not Available

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Page 6

  • Correct Answer: A

    Solution :

      Not Available    

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Page 7

  • Correct Answer: B

    Solution :

      Not Available

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Page 8

  • Correct Answer: B

    Solution :

      Not Available

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Page 9

  • Correct Answer: A

    Solution :

      Not Available

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Page 10

  • Correct Answer: A

    Solution :

      Not Available

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Page 11

  • Correct Answer: A

    Solution :

      Not Available

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Page 12

  • Correct Answer: A

    Solution :

      Not Available    

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Page 13

  • Correct Answer: D

    Solution :

      Not Available

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Page 14

  • Correct Answer: A

    Solution :

      Echo is a type of reflected sound

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Page 15

  • Correct Answer: A

    Solution :

      To hear distinct echo, the minimum distance of a reflecting surface should be 17 meters.             

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Page 16

  • Correct Answer: C

    Solution :

      Steel will reflect sound better.  

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Page 17

  • Correct Answer: B

    Solution :

      Multiple echoes are also called reverberation.

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Page 18

  • Correct Answer: C

    Solution :

      An echo of the sound produced can be heard only if it reaches our ear after\[\frac{1}{10}\]th of second.

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Page 19

  • Correct Answer: B

    Solution :

      Distance of the boy from the wall = 70m distance travelled by sound (before echo is heard) \[=2\times 70m,\]speed of sound\[=350m{{s}^{1}}\] \[Time=\frac{distance}{speed}\] \[=\frac{2\times 70}{350}=0.4s\]

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Page 20

  • Correct Answer: A

    Solution :

      \[t=\frac{2}{3}s=1s,\] \[v=330\text{ }m/s,\text{ }s=?\] We know, \[v=\frac{s}{t}\] \[\Rightarrow \] \[s=v\times t=330\times 1=330m\]      

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Page 21

  • Correct Answer: B

    Solution :

      Not Available

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Page 22

  • Correct Answer: C

    Solution :

      The intensity of sound is measured in the units of decibel           

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Page 23

  • Correct Answer: B

    Solution :

      The characteristic of sound which distinguishes a feable sound from a loud sound of the same frequency is pitch.

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Page 24

  • Correct Answer: C

    Solution :

      The amplitude of the sound wave describes its loudness.            

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Page 25

  • Correct Answer: D

    Solution :

      Noise is produced by irregular and non?periodic vibrations.

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Page 26

  • Correct Answer: C

    Solution :

      The loudness does not depend on frequency of vibration

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