Multiple choice

Statement 1 : The magnitude of velocity of two boats relative to river is same. Both starts simultaneously from same point on one bank and they may reach opposite bank simultaneously moving along different paths. Statement 2 : 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.

  1. Statement -1 is false , Statement- 2 is true.

  2. Statement-1 is true, Statement-2 is true , Statement-2 is a correct explanation for statement-1

  3. Statement-1 is true , Statement-2 is true; Statement-2 is not a correct explanation for statement-1

  4. Statement -1 is true, Statement-2 is false.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement 1 is true because boats can reach the opposite bank simultaneously by adjusting their paths to compensate for the river flow. Statement 2 is true because the time to cross is determined only by the velocity component perpendicular to the flow; if this component is the same for both, they cross in the same time regardless of the path.

AI explanation

The time taken by a boat to cross a river depends solely on the component of its velocity that is perpendicular to the flow of the water. Even if two boats have the same overall speed relative to the river but travel along different paths, they will reach the opposite bank at the exact same moment if their perpendicular velocity components are identical. Therefore, since the first statement describes this exact scenario and the second statement correctly provides the physical principle behind it, both statements are true and the second correctly explains the first.

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