If two simple harmonic motions are given as `x_(1)=Asin omegat andx_(2)=(A//2)sinomegat+(A//2)cosomegat`, then the ratio of their amplitudes is

Question

If two simple harmonic motions are given as `x_(1)=Asin omegat andx_(2)=(A//2)sinomegat+(A//2)cosomegat`, then the ratio of their amplitudes is

If two simple harmonic motions are given as
`x_(1)=Asin omegat andx_(2)=(A//2)sinomegat+(A//2)cosomegat`, then the ratio of their amplitudes is
A. 1
B. 2
C. `1//sqrt(2)`
D. `sqrt(2)`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
`A_(1)=A`
`R=sqrt(A_(1)^(2)+A_(2)^(2))`
`=sqrt((A^(2))/(4)+(A^(2))/(4))=sqrt((2A^(2))/(4))=(A)/(sqrt(2))`
`(A_(1))/(R)=(A)/((A)/(sqrt(2)))=(sqrt(2))/(1)`

5 views Answered 2023-02-05 15:29