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The question given below consist of an ...

The question given below consist of an assertion and the reason . Use the following key to choose appropriate answer:
Assertion: In projectile motion , path followed is a parabola because acceleration due to gravity near the surface of the earth remains constant .
Reason , When acceleration of the particle is constant , then only possible path is parabola .

A

If both assertion and reason are correct and reason is a correct explanation of the assertion

B

If both assertion and reason are correct but reason is not the correct explanation of assertion .

C

If assertion is correct but reason is incorrect .
(d) If assertion is incorrect but reason is correct .

D

If assertion is incorrect but reason is correct

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason provided, we will analyze both statements step by step. ### Step 1: Analyze the Assertion **Assertion:** In projectile motion, the path followed is a parabola because the acceleration due to gravity near the surface of the earth remains constant. - In projectile motion, an object moves under the influence of gravity alone after being projected. The only force acting on it is the gravitational force, which causes a constant acceleration downwards (denoted as \( g \)). - Since the horizontal motion is uniform (no horizontal acceleration), and the vertical motion is uniformly accelerated (due to gravity), the combination of these two motions results in a parabolic trajectory. **Conclusion for Assertion:** The assertion is **correct**. ### Step 2: Analyze the Reason **Reason:** When the acceleration of the particle is constant, then the only possible path is a parabola. - This statement is misleading. While it is true that a constant acceleration can lead to a parabolic path in the case of projectile motion, it is not the only possible path. - For example, if the acceleration is constant and directed towards the center of the motion (like in circular motion), the path followed would be circular, not parabolic. Thus, constant acceleration can lead to different types of motion depending on the direction of the acceleration. **Conclusion for Reason:** The reason is **incorrect**. ### Final Conclusion - Since the assertion is correct and the reason is incorrect, the correct answer to the question is that the assertion is true, but the reason is false. ### Summary - **Assertion:** Correct - **Reason:** Incorrect
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