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Assertion: Path of projected ball become...

Assertion: Path of projected ball becomes parabolic in gravitational field `(thetacancel=90^(@))`
Reason: Gravitational force always act perpendicualr to velocity during the motion.

A

If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.

B

If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.

C

If Assertion is Trie but the Reason is False.

D

If both Assertion `&` Reason are false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason given in the problem. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the path of a projected ball becomes parabolic in a gravitational field when the angle of projection (θ) is not equal to 90 degrees. - This is true because when a ball is projected at an angle (other than 90 degrees), it experiences both horizontal and vertical motion. The horizontal motion is uniform, while the vertical motion is influenced by gravity, leading to a parabolic trajectory. 2. **Understanding the Reason**: - The reason states that the gravitational force always acts perpendicular to the velocity during the motion. - This statement is incorrect. While the gravitational force acts downward (in the negative y-direction), the velocity of the ball has both horizontal and vertical components. At any point in the trajectory, the gravitational force is not perpendicular to the velocity vector unless the ball is at the peak of its trajectory (where the vertical component of velocity is zero). 3. **Conclusion**: - Since the assertion is true (the path is parabolic when θ ≠ 90°), but the reason is false (gravitational force does not always act perpendicular to the velocity), we conclude that: - The assertion is true, but the reason is false. ### Final Answer: - The correct option is: Assertion is true, but the reason is false.
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