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Q.

System show in figure is released from rest.  Friction is absent and string is massless.  In time  t=0.3s.
 

Question Image
 Column-I Column-II
AWork done by gravity on 2 kg blockP1.5J
BWork done by gravity on 1 kg blockQ2J
CWork done by string on 2 kg blockR3J
DWork done by string on 1 kg blockS2J

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a

A-P, B-P, C-S, D-Q

b

A-P, B-R, C-S, D-Q

c

A-S, B-P, C-Q, D-R

d

A-R, B-P, C-S, D-Q

answer is D.

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Detailed Solution

detailed_solution_thumbnail

On 1 kg

 On 1 kgm2 g-T=m2aOn 2 kgm2 g-T=m2aa=m2g-m1gm1+m2=g3T=4 g3 Displacement =at22=g×0.093=0.15 m

A) work done by gravity on 2 kg is

 F.S =2×g×0.15=3 J

B) Workdone by gravity on 1 kg is

F.S=-1×g×0.15=-1.5 J

C) Work done by string on 2 kg is 

T.S=-T×0.15=4 g×0.153=-2 J

D) Workdone by string on 1 kg is

T.S=T×0.15=4 g×0.153=2 J

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