STATEMENT-1: A man can cross river of width `d` in minimum time `t`. On increasing river velocity, minimum time to cross the river by man will remain unchanged.
STATEMENT-2: Velocity of river is perpendicular to width of river. So time to cross the river is independent of velcoity of river.

Options

A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for Statement-I
B. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for Statement-I
C. Statement-I is true, Statement-II is false
D. Statement-I is false, Statement-II is true.

Explanation

To solve the problem, we need to analyze the two statements given and determine their validity.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- We have a river of width `d`.
- A man is trying to cross the river with a velocity `Vm`.
- The river has a velocity `Vr` which is perpendicular to the width of the river.

2. **Analyzing Statement 1**:
- The statement claims that a man can cross the river in minimum time `t`.
- The time taken to cross the river is given by the formula:
\[ t = \frac{d}{Vm} \]
- Here, `Vm` is the velocity of the man perpendicular to the river's flow. The time taken to cross the river depends only on the width `d` and the man's velocity `Vm`.

3. **Analyzing Statement 2**:
- This statement asserts that the velocity of the river is perpendicular to the width of the river.
- Since the river's velocity `Vr` is perpendicular to the direction of crossing (which is vertical), it does not affect the time taken to cross the river.
- The time taken to cross the river remains independent of the river's velocity because the river's flow does not change the distance `d` the man has to cover vertically.

4. **Conclusion**:
- Both statements are correct:
- Statement 1 is correct because the time taken to cross the river depends only on the man's velocity.
- Statement 2 is correct because the river's velocity being perpendicular means it does not influence the crossing time.
- Statement 2 provides the correct explanation for Statement 1.

### Final Answer:
Both statements are true, and Statement 2 is the correct explanation for Statement 1.