Which of the following statements are correct?

(a) Lenz's law is based on the conservation of charge.

(b) Lenz's law gives the direction of induced current.

(c) Lenz's law is based on the conservation of energy.

Understanding Lenz's Law:

Lenz's Law is a fundamental principle in electromagnetism that describes the direction of an induced current in a conductor due to a changing magnetic field. According to Lenz's Law, the direction of the induced current is such that it opposes the change in the magnetic flux that caused it. This law is mathematically represented by the negative sign in Faraday's Law of Induction.

Explanation of Statements:

• Lenz's law is based on the conservation of charge: - This statement is incorrect. Lenz's Law is not directly related to the conservation of charge. It is primarily concerned with the conservation of energy.
• Lenz's law gives the direction of induced current: - This statement is correct. Lenz's Law determines the direction of the induced current in a conductor so that it opposes the change in magnetic flux.
• Lenz's law is based on the conservation of energy: - This statement is correct. Lenz's Law is a consequence of the conservation of energy. It ensures that the induced electromotive force (EMF) and the resulting current produce a magnetic field that opposes the change in the original magnetic field, thus conserving energy.
   

Conclusion:

The correct statements are:

(b) Lenz's law gives the direction of induced current.

(c) Lenz's law is based on the conservation of energy.