1.

A mass M, attached to a horizontal spring, executes S.H.M. with aplitude A_(1). When the mass M passes through its mean position then a smaller mass m is placed over it and both of them move together with amplitude A_(2). The ratio of ((A_(1))/(A_(1))) is :

Answer»

`(M+m)/(M)`
`((M)/(M+m))^(1//2)`
`((M+m)/(M))^(1//2)`
`(M)/(M+m)`

SOLUTION :At mean point `F_("not")=0`, so linear momentum must be conserved.
`Mv_(1)=(M+m)v_(2)`
`MA_(1)sqrt((K)/(M))=(M+m)A_(2)sqrt((K)/(m+M))`
`A_(1)sqrt(M)=A_(2)sqrt(M+m)`
`:.""(A_(1))/(A_(2))=sqrt((m+M)/(M))`
Correct CHOICE : ( c ).


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