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Two spheres  and  move on a smooth horizontal surface with same velocity  and have some separation between them. A third sphere  is moving in opposite direction on the same surface with the same speed. All the spheres are of equal mass. The collisions are elastic.  represents the centre of mass velocityof all the three spheres. Column II represents the values after all the possible impacts have occurred

Column-I

Column- II

(A)

If  and  are not connected to each other

(p)

before collision

(B)

If  and  are connected to each other by a massless rigid rod

(q)

after all the collision

(C)

If  and  are connected by an ideal string

(r)

Momentum of system  is not conserved

(D)

If  and  are connected by an ideal spring which is initially unstretched

(s)

Momentum of system  is conserved

CODES :

 

A

B

C

D

 

 

a)

a,b,c

a,b,c

a,b

a,b

 

 

b)

a,b,c

a,b

a,b,c

a

 

 

c)

a,b

a,b,c

a,b

a,b,

 

 

d)

b

a,b

b,c

a,b,c

 

 



Question ID - 101006 | SaraNextGen Top Answer

Two spheres  and  move on a smooth horizontal surface with same velocity  and have some separation between them. A third sphere  is moving in opposite direction on the same surface with the same speed. All the spheres are of equal mass. The collisions are elastic.  represents the centre of mass velocityof all the three spheres. Column II represents the values after all the possible impacts have occurred

Column-I

Column- II

(A)

If  and  are not connected to each other

(p)

before collision

(B)

If  and  are connected to each other by a massless rigid rod

(q)

after all the collision

(C)

If  and  are connected by an ideal string

(r)

Momentum of system  is not conserved

(D)

If  and  are connected by an ideal spring which is initially unstretched

(s)

Momentum of system  is conserved

CODES :

 

A

B

C

D

 

 

a)

a,b,c

a,b,c

a,b

a,b

 

 

b)

a,b,c

a,b

a,b,c

a

 

 

c)

a,b

a,b,c

a,b

a,b,

 

 

d)

b

a,b

b,c

a,b,c

 

 

1 Answer
127 votes
Answer Key / Explanation : (a) -

(a)

If  and  are connected, then they will act as a mass of . If  and  are connected by an ideal string, then finally  and  will be rest

127 votes


127