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The equation of displacement of two wave...

The equation of displacement of two waves are given as
` y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t]`
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)cos 3 pit)`
`=10((1)/(2)sin 3pit+(sqrt(3))/(2)cos 3pit)=10sin(3pit+(pi)/(3))`
`:. A_(1)//A_(2)=10//10=1:1`.
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