1.

The motion of 10 g mass tied to massless spring is represented by S.H.M. x=25cos(3t+(pi)/(4)) where x is in cm and t in second, the force constant of the spring is :

Answer»

`9" N m"^(-1)`
`0.9" N m"^(-1)`
`0.09" N m"^(-1)`
none of the above.

Solution :Here `omega t=3t`
`IMPLIES""omega=3` rad/s.
Now `""v=(1)/(2pi)SQRT((k)/(m))`
or `""omega=sqrt((k)/(m))`
`implies""k=omega^(2)m`
`:.""k=9xx(10)/(1000)=0.09"N"//"m"`.
So the correct choice is ( c ).


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