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A : The motion of body projected under t...

A : The motion of body projected under the effect of gravity without air resistance is uniformly accelerated motion.
R : If a body is projected upward or downwards, then the distance of acceleration is downward

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).

C

If Assertion is true statement but Reason is false, then mark (3).

D

If both Assertion and Reason are false statement, then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion (A) and the reason (R) given in the statement. ### Step 1: Understand the Assertion (A) The assertion states: "The motion of a body projected under the effect of gravity without air resistance is uniformly accelerated motion." - **Explanation**: When a body is projected upwards or downwards, it is influenced solely by the force of gravity (assuming no air resistance). The acceleration due to gravity is constant (approximately \(9.81 \, \text{m/s}^2\) downward), which means the body experiences uniform acceleration. ### Step 2: Understand the Reason (R) The reason states: "If a body is projected upward or downward, then the direction of acceleration is downward." - **Explanation**: Regardless of whether the body is moving upwards or downwards, the acceleration due to gravity always acts downward. This means that the direction of acceleration is constant and directed towards the center of the Earth. ### Step 3: Analyze the Relationship Between A and R Now, we need to determine if the reason correctly explains the assertion. - The assertion is true because the motion is indeed uniformly accelerated due to constant gravitational acceleration. - The reason is also true because the direction of acceleration is always downward, which is a fundamental characteristic of gravitational motion. ### Step 4: Conclusion Since both the assertion and the reason are true, and the reason provides a correct explanation for the assertion, we can conclude: - **Correct Option**: Option 1 - If both assertion and reason are true, then reason is the correct explanation of assertion. ### Final Answer The correct answer is Option 1. ---
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