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Q.

A body moving towards right explodes into two pieces 1 and 2 as indicated. Then match directions of motion of the pieces is shown in column I and possible mass ratio are shown in column II.

 Column I Column II
A
Question Image
Pm1>m2
B
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Qm1=m2
C
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Rm1<m2
D
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SImpossible for any 
masses

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a

A-P; B-P; C-S; D-S

b

A-P; B-S; C-P; D- P Q R

c

A-P; B-Q; C-PR; D-PQR 

d

A-S; B-S; C-P; D-P Q R

answer is A.

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Detailed Solution

Question Image

Momentum remains conserved during explosion 

(a)  According to shown pieces net momentum of the pieces along x-axis is-ve  (impossible ) 

(b) Net momentum of the pieces along y-axis is non-zero (impossible)  

(c)  Along x-axis momentum remains positive   m1v1m2v2>0
 m1m2>v2v1>1m1>m2

(d)Momentum conservation along x and axes is possible for any mass ratio

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