1.

A mass 'M' is suspended from a spring of negligible mass. The spring is pulled a little and then released. It execuutes S.H. oscillations of period T. When mass is increased by 'm', the period becomes (5)/(4) T, the ratio (m)/(M) is :

Answer»

`(9)/(16)`
`(25)/(16)`
`(4)/(5)`
`(5)/(4)`.

Solution :`T=2pi SQRT((M)/(k))""…(i)`
and `(5T)/(4)=2pi sqrt((M+m)/(k))""…(ii)`
DIVIDING (ii) by (i)
`:.""(5)/(4)=sqrt((M+m)/(M))""IMPLIES""(25)/(16)=(M+m)/(M)`
`:.""(m)/(M)=(9)/(16)`
Hence correct choice is (a).


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