A: There may be an induced emf in a loop without induced current.
R: Induced current depends on the resistance of the loop as well.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion.
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion.
C. If Assertion is true statement but Reason is false.
D. If both Assertion and Reason are false statements.

Answer

To solve the problem, we need to analyze the two statements given:

1. **Statement A**: "There may be an induced emf in a loop without induced current."
2. **Statement R**: "Induced current depends on the resistance of the loop as well."

### Step-by-Step Solution:

**Step 1: Analyze Statement A**
- We know that induced emf (electromotive force) can be generated due to a change in magnetic flux through a loop. This is described by Faraday's law of electromagnetic induction.
- However, for a current to flow, the loop must be closed. If the loop is not closed, an emf can still be induced, but no current will flow.
- Therefore, Statement A is **True**. An induced emf can exist in an open loop without any induced current.

**Step 2: Analyze Statement R**
- The induced current in a closed loop is given by Ohm's law, which states that current (I) is equal to the induced emf (E) divided by the resistance (R) of the loop:
\[ I = \frac{E}{R} \]
- This shows that the induced current does indeed depend on the resistance of the loop. If the resistance is high, the current will be low for a given emf, and vice versa.
- Therefore, Statement R is also **True**. The induced current depends on the resistance of the loop.

**Step 3: Check if R is a correct explanation of A**
- Statement R explains that the induced current depends on the resistance of the loop. Since Statement A is about the existence of induced emf without current, and Statement R discusses the conditions under which current can flow, we see that both statements are related.
- The existence of induced emf without current (Statement A) is indeed explained by the fact that if the loop is open (high resistance), no current will flow despite the presence of induced emf (Statement R).
- Therefore, Statement R correctly explains Statement A.

### Conclusion:
Both statements A and R are true, and R is a correct explanation of A.

The final answer is that both statements are correct, and R is the correct explanation of A.

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