AIIMS 2019 Physics Relative Motion MCQ Question
Assertion : The magnitude of velocity of two boats relative to river is same. Both boats start simultaneously from same point on the bank may reach opposite bank simultaneously moving along different paths.
Reason : For boats to cross the river in same time. The component of their velocity relative to river in direction normal to flow should be same.
If both assertion and reason are true and reason is correct explanation of assertion.
If both assertion and reason are true and reason is not correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.
Correct Answer
Detailed Explanation
When both boats have the same component of velocity perpendicular to the river flow, they effectively counteract the river's current, allowing them to reach the opposite bank simultaneously. This is due to the principle of relative velocity, where the velocity of the boat relative to the river (V_br) must equal the velocity of the river (V_r) in the direction of the flow, ensuring that their downstream drift is identical. Other options are not applicable as they do not provide relevant information or alternative scenarios that would affect the boats' crossing time. Understanding this concept highlights the importance of vector components in motion analysis, particularly in fluid dynamics involving H₂O.
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