STATEMENT-1
The force on a point due to another point charge is always equal to `(q_(1)q_(2))/(4piepsilon_(0)r^(2))` irrespective of medium present between the charges. (where symbols have their usual meaning)
because
STATEMENT-2
The force on one point charge due to another point charge is independent of other charges present in vicinity.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for statement-1
B. Statement-2 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True.

Answer

To analyze the statements given in the question, we will evaluate each statement step by step.

### Step 1: Understanding Statement 1
**Statement 1** claims that the force on a point charge due to another point charge is always given by the formula:
\[ F = \frac{q_1 q_2}{4 \pi \epsilon_0 r^2} \]
This formula is derived from Coulomb's Law, where \( \epsilon_0 \) is the permittivity of free space.

### Step 2: Evaluating the Effect of Medium
The statement suggests that this formula holds true irrespective of the medium present between the charges. However, when charges are placed in a medium other than vacuum, the permittivity changes. The permittivity of the medium is given by:
\[ \epsilon = \epsilon_0 \epsilon_r \]
where \( \epsilon_r \) is the relative permittivity of the medium. Therefore, the force in a medium is actually given by:
\[ F = \frac{q_1 q_2}{4 \pi \epsilon r^2} = \frac{q_1 q_2}{4 \pi \epsilon_0 \epsilon_r r^2} \]
This shows that the force does depend on the medium, which makes Statement 1 **false**.

### Step 3: Understanding Statement 2
**Statement 2** states that the force on one point charge due to another point charge is independent of other charges present in the vicinity.

### Step 4: Evaluating Independence of Other Charges
According to Coulomb's Law, the force between two point charges is determined solely by the magnitudes of the charges and the distance between them. The presence of other charges does not affect the force between the two charges in question. Therefore, Statement 2 is indeed **true**.

### Conclusion
Based on the evaluations:
- **Statement 1** is **false** because the force does depend on the medium.
- **Statement 2** is **true** because the force between two charges is independent of other charges.

Thus, the correct conclusion is that Statement 1 is false and Statement 2 is true.

### Final Answer
- **Statement 1**: False
- **Statement 2**: True