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Assertion : Coulomb force and gravitatio...

Assertion : Coulomb force and gravitational force follow the same inverse-square law.
Reason : Both laws are same in all aspects.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

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

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

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The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "Coulomb force and gravitational force follow the same inverse-square law." - The Coulomb force between two point charges \( q_1 \) and \( q_2 \) is given by: \[ F_C = k \frac{|q_1 q_2|}{r^2} \] where \( k \) is Coulomb's constant and \( r \) is the distance between the charges. - The gravitational force between two masses \( m_1 \) and \( m_2 \) is given by: \[ F_G = G \frac{m_1 m_2}{r^2} \] where \( G \) is the gravitational constant. Both forces are inversely proportional to the square of the distance \( r \), confirming that the assertion is true. ### Step 2: Understand the Reason The reason states that "Both laws are same in all aspects." - While both forces follow the inverse-square law, they differ in their nature: - The Coulomb force can be either attractive or repulsive depending on the charges (like charges repel, unlike charges attract). - The gravitational force is always attractive, as it acts between masses. Thus, the reason is false because the two forces are not the same in all aspects. ### Step 3: Conclusion Based on the analysis: - The assertion is true. - The reason is false. Therefore, the correct option is: **C. Assertion is true and the reason is false.** ---

To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "Coulomb force and gravitational force follow the same inverse-square law." - The Coulomb force between two point charges \( q_1 \) and \( q_2 \) is given by: \[ F_C = k \frac{|q_1 q_2|}{r^2} ...
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