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Statement I: A raindrop after failing th...

Statement I: A raindrop after failing through some height attains a constant velocity.
Statement II: At constant velocity, the viscous drag is just equal to its weight.

A

Statement I is true, statement II is true and Statement II is a correct explanation for Statement I.

B

Statement I is true, Statement II is true and Statement II is NOT the correct explanation for Statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both statements and determine their validity. ### Step-by-Step Solution: 1. **Understanding Statement I**: - The first statement claims that a raindrop, after falling through some height, attains a constant velocity. This is known as terminal velocity. - As the raindrop falls, it accelerates due to gravity until the forces acting on it balance out. **Hint**: Consider the forces acting on the raindrop as it falls. 2. **Forces Acting on the Raindrop**: - The forces acting on the raindrop include its weight (downward force due to gravity) and the viscous drag (upward force due to air resistance). - Initially, the weight is greater than the viscous drag, causing the raindrop to accelerate downward. **Hint**: Think about how the raindrop's speed changes as it falls. 3. **Reaching Terminal Velocity**: - As the raindrop continues to fall, the speed increases, which increases the viscous drag until it equals the weight of the raindrop. - At this point, the net force acting on the raindrop becomes zero, and it stops accelerating, thus moving at a constant velocity. **Hint**: What happens to the forces when the raindrop reaches a constant speed? 4. **Understanding Statement II**: - The second statement claims that at constant velocity, the viscous drag is just equal to the weight of the raindrop. - This is indeed true because, at terminal velocity, the upward force (viscous drag) balances the downward force (weight). **Hint**: Reflect on the relationship between forces at constant velocity. 5. **Conclusion**: - Since Statement I is true (a raindrop does attain a constant velocity), and Statement II is also true (at constant velocity, the viscous drag equals the weight), both statements are correct. - Therefore, the correct conclusion is that both statements are true. ### Final Answer: Both Statement I and Statement II are true.

To solve the question, we need to analyze both statements and determine their validity. ### Step-by-Step Solution: 1. **Understanding Statement I**: - The first statement claims that a raindrop, after falling through some height, attains a constant velocity. This is known as terminal velocity. - As the raindrop falls, it accelerates due to gravity until the forces acting on it balance out. ...
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