A) \[{{v}_{1}}>{{v}_{3}}>{{v}_{2}}\]
B) \[{{v}_{1}}<{{v}_{3}}<{{v}_{2}}\]
C) \[{{v}_{1}}>{{v}_{2}}>{{v}_{3}}\]
D) \[{{v}_{1}}<{{v}_{2}}<{{v}_{3}}\]
Correct Answer: B
Solution :
The speed of a puck is inversely proportional to the magnitude of the frictional force acting between it and the surface of the carom board. Since the presence of sand increases the force of friction between the board and the puck, the speed of the puck on board III i.e.,\[{{v}_{3}}\]will be greater than the speed of the puck on board I i.e.,\[{{v}_{1}}\]. The oil poured on carom board II decreases the force of friction between the board and the puck. Hence, the speed of the puck on board II will be the highest i.e., \[{{v}_{1}}<{{v}_{3}}<{{v}_{2}}\] The correct answer is B.You need to login to perform this action.
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