Sound WavesHard
Question
The equation of displacement of two waves are given as
y1 = 10 sin
y2 = 5(sin 3 πt + √3 cos 3πt)
Then the ratio of their amplitude will be:
y1 = 10 sin
y2 = 5(sin 3 πt + √3 cos 3πt)
Then the ratio of their amplitude will be:
Options
A.2 : 1
B.1 : 1
C.1 : 2
D.none of these
Solution
y2 = 5(sin 3πt + √3 cos 3πt)
= 10(
sin 3πt + 
cos 3πt)
= 10
sin 3πt. cos 
+ cos 3πt. sin
= 10
Now, amplitude of Ist wave = 10
Amplitude of second wave = 10
ratio = 1 : 1
= 10(
sin 3πt + cos 3πt)= 10
sin 3πt. cos + cos 3πt. sin= 10
Now, amplitude of Ist wave = 10
Amplitude of second wave = 10
ratio = 1 : 1
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