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(A) : The values of in and μ depend on t...

(A) : The values of `in` and μ depend on the medium.
(R) : The electromagnetic force between two charges or magnets depends on the medium in which they are located.

A

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

B

Both 'A' and 'R' are true and 'R' is not the correct explanation of 'A'

C

'A' is true and 'R' is false

D

'A' is false and 'R' is false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the two statements provided: the assertion (A) and the reason (R). ### Step-by-step Solution: 1. **Understanding the Assertion (A):** - The assertion states that the values of ε (epsilon) and μ (mu) depend on the medium. - Here, ε represents permittivity, and μ represents permeability. - In general, the permittivity of a medium is given by the equation: \[ \epsilon = \epsilon_0 \cdot k \] where ε₀ is the permittivity of free space and k is the relative permittivity (dielectric constant) of the medium. - Similarly, the permeability of a medium is defined as: \[ \mu = \mu_0 \cdot m \] where μ₀ is the permeability of free space and m is the relative permeability of the medium. - Therefore, the assertion is **true** because both ε and μ indeed depend on the medium. 2. **Understanding the Reason (R):** - The reason states that the electromagnetic force between two charges or magnets depends on the medium in which they are located. - The force \( F \) between two point charges \( q_1 \) and \( q_2 \) separated by a distance \( r \) in a medium is given by: \[ F = \frac{1}{4 \pi \epsilon} \cdot \frac{q_1 q_2}{r^2} \] - As we can see, the force \( F \) is inversely proportional to ε, which varies with the medium. - Thus, the electromagnetic force does depend on the medium, making the reason **true** as well. 3. **Determining the Relationship:** - Now, we need to check if the reason is the correct explanation of the assertion. - The assertion talks about the dependence of ε and μ on the medium, while the reason discusses how the force between charges or magnets is influenced by the medium. - Since the force depends on ε (which is part of the assertion), the reason does provide a correct explanation for the assertion. ### Conclusion: Both the assertion (A) and the reason (R) are true, and the reason is the correct explanation of the assertion. Therefore, the answer is: **Option 1: Both A and R are true, and R is the correct explanation of A.**
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