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This question has Statement-I and Statement-II. Of thefour choices given after the Statements, choose the one that best describes the two Statements. Statement-I: A point particle of mass in moving with speed v collides with stationary point particle of mass M. If the maximum energy loss possible is given asf(1/2mv^2) then f=(m/(M+m))Statement-II : Maximum enegy loss occurs when the particles get stuck together as a result of the collision.

Answer»

Statement-I is true, Statement-II is true, Statement-II is not a CORRECT explanation of Statement
 Statement-T is true, Statement-II is false
Statement-I is false, Statement-II is true
Statement-I is true, Statement-II is true, Statement-II is a correct explanation of Statement-1.

Solution :LOSS of ENERGY is maximum when collision is INELASTIC as in an inelastic collision there will be maximum deformation.
KE in COM frame is `1/2((Mm)/(M+m))V_(rel)^2`
`KE_i=1/2((Mm)/(M+m))V^2``KE-f=0(because V_(rel)=0)`
Hence loss in energy is `1/2((Mm)/(M+m))V^2`
`:. implies f=(M)/(M+m)` and not `((m)/(M+m))` as given in statement_I`.


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