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Q.

A block of mass m is projected towards a spring with velocity  . The force constant of the spring is K. The block is projected from a distance  from the free end of the spring .The collision between block and the wall is completely elastic. Match the following columns

Question Image

                                                                                       
                            
     
                                               
                                                    
                                              

Column – I  Column - II 
A) maximum compression of the spring     P)  KV02m
B) Energy of oscillations of block Q)mV02k
C) Time period of oscillations R)  12mV02
D) maximum acceleration of theS)  2lV0+πmk


 

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a

A – Q, B – R , C – S, D – P

b

A – Q, B – S , C – R, D – Q

c

A – Q, B – R , C – P, D – S

d

A – P, B – Q , C – R, D – S 

answer is B.

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Detailed Solution

12Kx02=12mV02 x0=mV02K

Time period  T1=2T4+2t=2π2mK+2l0V0
Energy of oscillations =  12mV02

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