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
ColumnI 
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 


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
ColumnI 
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 


(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