Force acting on two charges is given by `F=k(q_(1)q_(2))/(r^(2))` Here k depends in :

Options

A. Strength charge
B. Medium
C. Distance between the charges
D. Both (a) and (b)

Explanation

To solve the question regarding the dependence of the constant \( k \) in the equation for the force between two charges, we can follow these steps:

### Step 1: Understand the formula
The formula for the force \( F \) between two point charges \( q_1 \) and \( q_2 \) separated by a distance \( r \) is given by:
\[ F = k \frac{q_1 q_2}{r^2} \]
Here, \( k \) is a proportionality constant.

### Step 2: Identify what \( k \) represents
The constant \( k \) is known as Coulomb's constant. It can be expressed in terms of the electric permittivity of free space (\( \epsilon_0 \)):
\[ k = \frac{1}{4\pi \epsilon_0} \]
This indicates that \( k \) is related to the electric permittivity of the medium in which the charges are located.

### Step 3: Determine the factors that affect \( k \)
The value of \( k \) depends on the electric permittivity of the medium between the charges. Different materials have different permittivities, which will affect the value of \( k \).

### Step 4: Conclude the dependence of \( k \)
From the above analysis, we can conclude that:
- \( k \) does not depend on the magnitudes of the charges \( q_1 \) and \( q_2 \).
- \( k \) does not depend on the distance \( r \) between the charges.
- \( k \) depends solely on the medium in which the charges are placed.

### Final Answer
Thus, the correct answer is that \( k \) depends on the **medium**.

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