1.

The displacement of a simple harmonic oscillator is given by x = 4 cos `(2pit+pi//4)m`. Then velocity of the oscillator at t = 2 s isA. `4pisqrt(2)m//s`B. `(4pi)/(sqrt(2))m//s`C. `(sqrt(2)pi)/(4)m//s`D. `(4sqrt(2))/(pi)m//s`

Answer» Correct Answer - A
`x=4cos(2pit+(pi)/(4))`
`(dx)/(dt)=4xx2pisin(2pit+(pi)/(4))`
`v=8pixxsin(2pixx2+(pi)/(4))`
`=8pisin.(pi)/(4)`
`=8pixx(1)/(sqrt(2))=(4sqrt(2)xxsqrt(2)pi)/(sqrt(2))=4sqrt(2)pi`.


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