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Assertion:- A ball allowed to spin in a ...

Assertion:- A ball allowed to spin in a region of uniform wind motion, will get an uplift.
Reason:- Due to spin of the ball in a region of uniform wind motion, the difference in velocity of air flow is present between the lower and upper position of ball, leading to varying pressure.

A

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

B

Statement-1 is true, statement-2 is true, statement-2 is NOT a correct explantion for statement-1

C

statement-1 is true, statement-2 is false

D

statement-1 is false statement-2 is true

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and reason provided in the context of fluid mechanics and the behavior of spinning objects in a fluid medium. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that a ball allowed to spin in a region of uniform wind motion will get an uplift. This suggests that the spinning motion of the ball interacts with the wind, resulting in an upward force. 2. **Understanding the Reason**: - The reason explains that due to the spin of the ball, there is a difference in the velocity of airflow around the ball, specifically between the lower and upper parts of the ball. This difference in velocity leads to varying pressure on the two sides of the ball. 3. **Analyzing Airflow and Pressure**: - When the ball spins, the air on the upper side of the ball moves faster (due to the addition of the ball's rotational velocity to the wind's velocity) compared to the air on the lower side (where the ball's rotational velocity opposes the wind's velocity). - According to Bernoulli's principle, an increase in the velocity of the airflow results in a decrease in pressure. Therefore, the pressure on the upper side of the ball is lower than the pressure on the lower side. 4. **Resulting Uplift**: - The pressure difference created by the varying velocities of airflow leads to a net upward force on the ball. This is what is referred to as the uplift. 5. **Conclusion**: - Both the assertion and the reason are true. The reason correctly explains why the assertion is true, as the difference in pressure caused by the difference in airflow velocity results in an uplift on the spinning ball. ### Final Answer: - Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
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ALLEN-ELASTICITY, SURFACE TENSION AND FLUID MECHANICS-Exercise 3 (Assertion & Reason)
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  16. Statement-1: hot soup tastes better than the cold soup. Statement-2:...

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  17. Roofs of the huts are blown up during stormy days. Why?

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  18. Statement-1: The stream of water emerging from a wate tap "necks down"...

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  19. Statement-1: As wind flows left to right and a ball is spined as shown...

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  20. Statement-1: A block is immersed in a liquid inside a beaker which is ...

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