1.

A particle executes SHM of type x=Asinomegat. It takes time t_(1) from x=0 to x=(A)/(2) and t_(2) from x=(A)/(2) to x=A. The ratio t_(1):t_(2) will be

Answer»

`1:1`
`1:2`
`1:3`
`2:1`

SOLUTION :`t_(1)+t_(2)=(T)/(4)`
or `t_(2)=(T)/(4)-t_(1)`
At time, `t=t_(1)x=(A)/(2)`
`THEREFORE (A)/(2)=Asinomegat_(1)oromegat_(1)=(pi)/(6)ort_(1)=(pi)/(6omega)`
`therefore t_(2)=(T)/(4)-(pi)/(6omega)=(2PI)/(4omega)-(pi)/(6omega)=(2pi)/(6omega) (because T=(2pi)/(omega))`
`therefore t_(1):t_(2)=1:2`


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