Lenz's law gives:

Options

A. the magnitude of the induced emf
B. the direction of the induced current
C. both the magnitude and direction of the induced current
D. the magnitude of the induced current

Explanation

To solve the question regarding Lenz's law, we need to understand what Lenz's law states and what it provides in terms of induced electromotive force (emf) and current.

### Step-by-Step Solution:

1. **Understanding Lenz's Law**:
Lenz's law is a principle in electromagnetism that states that the direction of the induced current is such that it opposes the change in magnetic flux that produced it. This means that if the magnetic field through a loop of wire is increasing, the induced current will flow in a direction that creates a magnetic field opposing the increase.

2. **Identifying What Lenz's Law Provides**:
The law primarily gives us information about the direction of the induced current. It does not provide information about the magnitude of the induced emf or current. Instead, the magnitude of the induced emf can be determined using Faraday's law of electromagnetic induction, which states that the induced emf is proportional to the rate of change of magnetic flux.

3. **Evaluating the Options**:
- **Magnitude of Induced emf**: This is determined by Faraday's law, not Lenz's law.
- **Direction of Induced emf**: This is what Lenz's law specifically addresses.
- **Both Magnitude and Direction of Induced emf**: Lenz's law does not provide the magnitude.
- **Magnitude of Induced Current**: This is also not provided by Lenz's law.

4. **Conclusion**:
Based on the understanding of Lenz's law, we conclude that it gives the direction of the induced current only. Therefore, the correct answer to the question is that Lenz's law gives the direction of induced emf.

### Final Answer:
Lenz's law gives the direction of induced emf.