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Assertion: The value of acceleration due...

Assertion: The value of acceleration due to gravity does not depends upon mass of the body on which force is applied.
Reason: Acceleration due to gravity is a constant quantity.

A

Statement I is True, Statement II is True: Statement II is a correct explanation for Statement I.

B

Statement I is True, Statement II is True: Statement II is Not a 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 the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "The value of acceleration due to gravity does not depend upon the mass of the body on which force is applied." - This statement is **true**. The acceleration due to gravity (g) at a point near the Earth's surface is approximately 9.81 m/s² and is independent of the mass of the object experiencing the gravitational force. It is a property of the gravitational field created by the Earth. ### Step 2: Analyze the Reason The reason states that "Acceleration due to gravity is a constant quantity." - This statement is **false** in the context of the entire universe. While g is approximately constant near the Earth's surface, it varies with altitude and distance from the Earth's center. The formula for gravitational acceleration is given by: \[ g = \frac{GM}{r^2} \] where G is the gravitational constant, M is the mass of the Earth, and r is the distance from the center of the Earth. Thus, g is not a constant quantity everywhere. ### Step 3: Conclusion Now, we can conclude the truth values of both statements: - Statement 1 (Assertion) is **true**. - Statement 2 (Reason) is **false**. ### Final Answer Based on the analysis, the correct option is: **Option 3: Statement 1 is true, Statement 2 is false.** ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "The value of acceleration due to gravity does not depend upon the mass of the body on which force is applied." - This statement is **true**. The acceleration due to gravity (g) at a point near the Earth's surface is approximately 9.81 m/s² and is independent of the mass of the object experiencing the gravitational force. It is a property of the gravitational field created by the Earth. ### Step 2: Analyze the Reason ...
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