# 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) Column-I 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

## Question ID - 101020 :- 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) Column-I 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

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 (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

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