Two blocks of masses 3 kg and 6 kg are connected by an ideal spring and are placed on a frictionless horizontal surface. The 3 kg block is imparted a speed of 2 m/s towards left. (Consider left as positive direction)
ColumnI 
Column II 

(A) 
When the velocity of the 3 kg block is m/s 
(p) 
The velocity of centre of mass is m/s 

(B) 
When the speed of the 3 kg block is m/s 
(q) 
Deformation of the spring is zero 

(C) 
When the speed of the 3 kg block is minimum 
(r) 
Deformation of the spring is maximum 

(D) 
When the velocity of the 6 kg block is maximum 
(s) 
Both the blocks are at rest with respect to each other 

CODES : 


A 
B 
C 
D 



a) 
a 
b,c 
a,b,c,d 
a,c,d 



b) 
a,c,d 
a,b,c,d 
a 
a,b 



c) 
a,b 
a,c,d 
a 
a,b,c,d 



d) 
a 
a,b,c,d 
a,b 
a,c,d 


Two blocks of masses 3 kg and 6 kg are connected by an ideal spring and are placed on a frictionless horizontal surface. The 3 kg block is imparted a speed of 2 m/s towards left. (Consider left as positive direction)
ColumnI 
Column II 

(A) 
When the velocity of the 3 kg block is m/s 
(p) 
The velocity of centre of mass is m/s 

(B) 
When the speed of the 3 kg block is m/s 
(q) 
Deformation of the spring is zero 

(C) 
When the speed of the 3 kg block is minimum 
(r) 
Deformation of the spring is maximum 

(D) 
When the velocity of the 6 kg block is maximum 
(s) 
Both the blocks are at rest with respect to each other 

CODES : 


A 
B 
C 
D 



a) 
a 
b,c 
a,b,c,d 
a,c,d 



b) 
a,c,d 
a,b,c,d 
a 
a,b 



c) 
a,b 
a,c,d 
a 
a,b,c,d 



d) 
a 
a,b,c,d 
a,b 
a,c,d 


(b) So velocity of centre of mass is always 2/3 m/s i. If velocity of 3 kg block is 2/3 m/s, then velocity of 6 kg block is also 2/3 m/s. In this situation, spring will be maximum elongated. Their relative velocity will be zero ii. When the speed is 2/3 m/s, velocity can be 2/3 m/s, if Let deformation in spring be . Then iii. Minimum speed of 3 kg block is zero. At this speed, spring will have some deformation, but not maximum iv. Speed of 6 kg block will be maximum when spring returns to its normal length after passing through elongation 