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Q.

Two blocks A and B of mass 2 m and m respectively are connected by a massless spring of spring constant K. This system lies over a smooth horizontal surface. At t=0 the block A has velocity u towards right as shown while the speed of block B is zero, and the length of spring is equal to its natural length at that instant. In each situation of column-I, certain statements are given and corresponding results are given in column II. Match the statements in column I corresponding to results in column-II.

Question Image
 Column-I Column-II
PThe velocity of block A1can never be zero
QThe velocity of block B2may be zero at certain instants of time
RThe kinetic energy of system of two blocks3is minimum at maximum compression of spring
SThe potential energy of spring4is maximum at maximum extension of spring

 

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a

P2,Q1,R1,3;S2,4

b

P1,Q2,R1,3 ;S2,4

c

P1,Q2,R  1,4;S2,3

d

P1,Q2,R2,3;S1,4

answer is B.

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Detailed Solution

The velocity of block A can never be zero.

The velocity of block B may be zero at certain instants of time.

The kinetic energy of system of two blocks can never be zero.

The kinetic energy of system of two blocks is minimum at maximum compression of spring.

The potential energy of spring may be zero at certain instants of time.

The potential energy of spring is maximum at maximum extension of spring.

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