Column II gives certain situations involving two blocks of mass 2 kg and 4 kg. The 4 kg block lies on a smooth horizontal table. There is sufficient friction between both the blocks and there is no relative motion between the blocks in all situation. Horizontal forces act on one or both blocks as shown. Column I gives certain statement related to figures given in column II. Match the statements in column I with the figure in column II.
Column I | Column II |
(a) Magnitude of frictional force is maximum. | (p) |
(b) Magnitude of friction force is least. | (q) |
(c) Friction force on 2 kg block is towards right. | (r) |
(d) Friction force on 2 kg block is towards left. | (s) |
Text Solution
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(a) Magnitude of frictional force is maximum.
In the fourth figure, both blocks are acted upon by large opposing forces (8N on the 2kg block and 20N on the 4kg block). The frictional force must balance the net force to prevent relative motion, making it maximum. Hence, this corresponds to (s).
(b) Magnitude of friction force is least.
In the second figure, only the 2kg block is acted upon by a force of 12N, and the relation of forces indicates that friction is at a minimum here because the force is only acting on the top block. This corresponds to (q).
(c) Friction force on 2 kg block is towards right.
In the first figure, the 4kg block is being pulled right by 12N. Consequently, the friction on the 2kg block (which precedes it) also acts towards the right to prevent slipping. Hence, this corresponds to (p).
(d) Friction force on 2 kg block is towards left.
In the third figure, both blocks are being pulled right with 6N each, which creates a net leftward friction force on the 2kg block to keep it from slipping off the 4kg block. Hence, this corresponds to (r).
Therefore, the correct matches are:
- (a) - (s)
- (b) - (q)
- (c) - (p)
- (d) - (r)
According to the matching logic, the correct answer is C.
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