Assertion(A): Faraday's laws of electromagnetic induction are consequences of law of conservation of energy.
Reason (R): The parameter LR in a L-R circuit has the dimension of time.

Options

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true but R is NOT the correct explanation of A
C. A is true but R is false
D. A is false and R is true

Explanation

To analyze the given statements, we will break down the assertion and reason step by step.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that "Faraday's laws of electromagnetic induction are consequences of the law of conservation of energy."
- Faraday's laws indicate that a change in magnetic flux through a circuit induces an electromotive force (EMF) in the circuit. This process involves converting mechanical energy (work done to change the magnetic field) into electrical energy.
- Since energy cannot be created or destroyed, the induced EMF and the current produced must obey the conservation of energy principle. Therefore, this assertion is **true**.

2. **Understanding the Reason (R)**:
- The reason states that "The parameter LR in an L-R circuit has the dimension of time."
- In an L-R circuit, L represents inductance (measured in henries) and R represents resistance (measured in ohms). The time constant (τ) of an L-R circuit is given by the formula τ = L/R.
- The dimension of inductance (L) is [M^1 L^2 T^-2 A^-2], and the dimension of resistance (R) is [M^1 L^2 T^-3 A^-2].
- When we calculate the dimension of τ = L/R, we get:
\[ \text{Dimension of } τ = \frac{[M^1 L^2 T^{-2} A^{-2}]}{[M^1 L^2 T^{-3} A^{-2}]} = [T^1] \]
- This confirms that the time constant τ indeed has the dimension of time. However, the statement "the parameter LR has the dimension of time" is incorrect because LR itself does not have the dimension of time; rather, τ = L/R has the dimension of time. Therefore, this reason is **false**.

3. **Conclusion**:
- Since the assertion is true and the reason is false, we conclude that the correct relationship between the two statements is that the assertion is correct, but the reason is not.

### Final Answer:
- Assertion (A) is true.
- Reason (R) is false.