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Q.

(A) : When a shell at rest explodes, the centre of mass fragments continues at rest

(R) : In explosion the linear momentum of the system does not remains conserved.

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a

Both 'A' and 'R' are true and 'R' is the correct explanation of 'A'

b

Both 'A' and 'R' are true and 'R' is not the correct explanation of 'A'

c

'A' is true and 'R' is false

d

'A' is false and 'R' are true

answer is C.

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Detailed Solution

  • Since the shell is initially at rest and the explosion is entirely caused by internal forces, the system's linear momentum is conserved.
  • Given that the initial linear momentum of the shell was zero, the final linear momentum of the centre of mass is also zero. 
  • As a result, the shards' centres of mass remain at rest.

Hence the correct answer is 'A' is true and 'R' is false.

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(A) : When a shell at rest explodes, the centre of mass fragments continues at rest(R) : In explosion the linear momentum of the system does not remains conserved.