Sound WavesMedium
Question
A sings with a frequency (n) and B sings with a frequency 1/8 that of A. If the energy remains the same and the amplitude of A is a, Then amplitude of B will be :
Options
A.2a
B.8a
C.4a
D.a
Solution
Energy of sound wave = 2π2v2a2vρ
v is frequency and v is velocity of sound; ρ is density of any other medium.
Now, E1 = 2π2v2a2vρ
E2 = 2π2
A2vρ
E1 = E2
2π2v2a2vρ = 2π2
A2vρ
A2 = 64a2
A = 8a
v is frequency and v is velocity of sound; ρ is density of any other medium.
Now, E1 = 2π2v2a2vρ
E2 = 2π2
A2vρE1 = E2
2π2v2a2vρ = 2π2
A2vρA2 = 64a2
A = 8a
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