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Solution


Q.

In the figure shown below block A is executing SHM on a smooth level ground. Another block B is kept gently on A in any of the positions mentioned in column-I. The block B sticks to A. Match with appropriate descriptions in column-II.

  Column-I   Column-II
A) Block B placed on the block A when A is at right extreme. (P) Momentum of (A + B) can be assumed to be conserved at the time block A is placed on block B.
B) Block B placed on the block A when A is at mean position. (Q) Mechanical energy is conserved.
C) Block B placed on the block A when A is midway between extreme and mean. (R) Time period of SHM increases.
    (S) Amplitude of SHM decreases.

 
1 (A) – P, (B) – Q, (C) – S  
2 (A) – P, Q, R, (B) – P, (C) – P  
3 (A) – P, Q, R, (B) – P, R, S, (C) – P, R, S  
4 (A) – P, Q, (B) – P, (C) – P, R, S  

Ans.

(3)

In all situations of column (I), linear momentum will be conserved as no impulsive force acts during placement. Time period will definitely increase; mechanical energy will be conserved only in situation (A) as no slipping, in other situations mechanical energy will decrease and so as amplitude.