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The equation of displacement of two wav...

The equation of displacement of two waves are given as `y_(1)=10sin(3 pi t+(pi)/(3))`,`y_(2)=10sin(3 pi t+(pi)/(3))` .Then what is the ratio of their amplitudes

A

`1:2`

B

`2:1`

C

`1:1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`y_(1)=10sin(3pit+(pi)/(3))`
`y_(2)=5[sin3pit+sqrt(3)cos3pit]`
`[because sin(A+B)=sinAcosB+cosAsinB]`
`=10sin(3pit+(pi)/(3))`
`(A_(1))/(A_(2))=(10)/(10)=1:1`.
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