Introduction:
The concept of perpetual motion machines has fascinated inventors and scientists for centuries. A perpetual motion machine of the second kind is a hypothetical device that operates without an external energy source and can continuously generate more energy than it consumes. However, the concept violates several fundamental principles of thermodynamics.

Explanation:
Kelvin-Plank statement:
The Kelvin-Plank statement, also known as the second law of thermodynamics, states that it is impossible to construct a device that operates in a cycle and extracts heat from a single reservoir to produce an equivalent amount of work. This principle is based on the idea that heat naturally flows from a higher temperature region to a lower temperature region, and it is not possible to completely convert all heat energy into work.

A perpetual motion machine of the second kind violates the Kelvin-Plank statement because it claims to produce work continuously without any external energy input. If such a machine were possible, it could extract heat from a single reservoir without any loss and convert it entirely into useful work, which contradicts the Kelvin-Plank statement.

First law of thermodynamics:
The first law of thermodynamics, also known as the law of energy conservation, states that energy cannot be created or destroyed but can only change its form. This principle implies that the total energy of a closed system remains constant.

A perpetual motion machine of the second kind would violate the first law of thermodynamics because it claims to continuously produce energy without any input. If the machine could generate more energy than it consumes without any external energy source, it would contradict the law of energy conservation.

Clausius statement:
The Clausius statement, also known as the second law of thermodynamics, states that it is impossible to construct a device that operates in a cycle and transfers heat from a colder body to a hotter body without any external work input. This principle is based on the concept of entropy, which always increases in a closed system.

A perpetual motion machine of the second kind would violate the Clausius statement because it would claim to transfer heat from a colder body to a hotter body without any external work input. This would imply a decrease in entropy, which contradicts the second law of thermodynamics.

Third law of thermodynamics:
The third law of thermodynamics states that it is impossible to reach absolute zero temperature through any finite number of processes. It does not directly relate to perpetual motion machines of the second kind.

Conclusion:
In conclusion, a perpetual motion machine of the second kind violates the Kelvin-Plank statement, which is a fundamental principle of thermodynamics. Such a machine claims to continuously produce work without any external energy input, which contradicts the second law of thermodynamics. Additionally, it would also violate the first and second laws of thermodynamics, which govern the conservation of energy and the increase in entropy, respectively. Therefore, the correct answer is option 'B'.