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Q.

This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two statements. 
Statement-I: A point particle of mass m moving with speed v collides with stationary point particle of mass M. If the maximum energy loss possible is given as f(12mv2) then f=mM+m.
Statement-II: Maximum energy loss occurs when the particles get stick together as a result of the collision. 

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a

Statement –I is true, Statement – II is true, Statement –II is not a correct explanation of Statement –I. 
 

b

Statement –I is true, Statement – II is false

c

Statement –I is false, Statement – II is true.

d

Statement –I is true, Statement – II is true, Statement –II is a correct explanation of Statement –I. 

answer is C.

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Detailed 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 12(MmM+m)Vrel2

KEi=12(MmM+m)V 2   , KEf=0(   Vrel=0)

Hence loss in energy is 12(MmM+m)V 2      f=MM+m

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