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Assertion (A): Weight of a body on the J...

Assertion (A): Weight of a body on the Jupiter will be more than that on the Earth.
Reason (R): Weight of a body on the Earth is the force with which a body is attracted towards the Earth.

A

Both A and R are correct and R is the correct explanation of A.

B

Both A and R are correct but R is not the correct explanation of A.

C

A is correct and R is incorrect.

D

Both A and R are incorrect.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion (A) and reason (R), we will analyze both statements step by step. ### Step 1: Understand the Assertion (A) - **Assertion (A)** states: "Weight of a body on Jupiter will be more than that on the Earth." - To evaluate this, we need to recall that weight is defined as the force exerted on an object due to gravity. The formula for weight (W) is given by: \[ W = m \times g \] where \( m \) is the mass of the body and \( g \) is the acceleration due to gravity. ### Step 2: Compare Gravity on Jupiter and Earth - The acceleration due to gravity on Earth (\( g_{Earth} \)) is approximately \( 9.8 \, \text{m/s}^2 \). - The acceleration due to gravity on Jupiter (\( g_{Jupiter} \)) is approximately \( 24.79 \, \text{m/s}^2 \). - Since \( g_{Jupiter} > g_{Earth} \), it follows that if the mass of the body remains constant, the weight of the body on Jupiter will indeed be greater than on Earth. ### Step 3: Understand the Reason (R) - **Reason (R)** states: "Weight of a body on the Earth is the force with which a body is attracted towards the Earth." - This statement is true because weight is indeed the gravitational force acting on an object due to the Earth’s mass. ### Step 4: Evaluate the Relationship Between A and R - Both statements A and R are true. However, we need to determine if R provides a correct explanation for A. - The reason R explains what weight is, but it does not directly explain why weight on Jupiter is greater than on Earth. The explanation for A requires understanding the differences in gravitational acceleration between the two planets, which R does not address. ### Conclusion - Therefore, both the assertion (A) and reason (R) are true, but R does not serve as a correct explanation for A. ### Final Answer - The correct option is: Both A and R are correct, but R is not the correct explanation of A. ---

To solve the question regarding the assertion (A) and reason (R), we will analyze both statements step by step. ### Step 1: Understand the Assertion (A) - **Assertion (A)** states: "Weight of a body on Jupiter will be more than that on the Earth." - To evaluate this, we need to recall that weight is defined as the force exerted on an object due to gravity. The formula for weight (W) is given by: \[ W = m \times g \] ...
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