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If two S.H.M.'s are represented by equat...

If two `S.H.M.'s` are represented by equation `y_(1) = 10 "sin" [3pit+(pi)/(4)]` and `y_(2) = 5[sin(3pit)+sqrt(3)cos(3pit)]` then find the ratio of their amplitudes and phase difference in between them.

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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