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Basically the word Temperature (in Kelvin) of the body is the average Kinetic Energy of molecules in a body.

Zero Kelvin is understandable that all molecules kinetic energy is Zero

But what is Negative Kelvin, means negative kinetic energy ? How can a body will have negative energy ?

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    $\begingroup$ Basically the word Temperature (in Kelvin) of the body is the average Kinetic Energy of molecules in a body. This is not the most general definition of temperature. Have you done even som basic web searching? There is a whole Wikipedia page about negative temperature. $\endgroup$ Commented Dec 6 at 17:22
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    $\begingroup$ This question is similar to: How to make physical sense of negative temperatures. If you believe it’s different, please edit the question, make it clear how it’s different and/or how the answers on that question are not helpful for your problem. $\endgroup$
    – hft
    Commented Dec 6 at 18:20

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Temperature is not the same thing as kinetic energy. Temperature is, by definition, the reciprocal of the derivative of the entropy of the system with respect to energy. In some cases the only energy is kintic and then your assumption is true. However , whenever the entropy decreases as energy increases, the system has a negative temperature. The standard example is a system of spins in an external magnetic field. When the temperature is infnite the orientation of the spins is random. If you add energy to the system the numbers of states available decreases and the entropy decreases and the temperature becomes negative. Thius a negative temperature is in some sense one that is hotter than infinite rather than cooler tha zero. This sounds crazy, but it makes sense because the the definition involves a reciprocal.

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Zero Kelvin is understandable that all molecules kinetic energy is Zero

But what is Negative Kelvin, means negative kinetic energy ? How can a body will have negative energy ?

As explained on this Wikipedia page, (formally) negative temperatures can result for systems with bounded phase space.

What this means is that the entropy decreases when the energy increases.

This is probably easiest to understand for the finite discrete system of $N$ non-interacting two-level atoms (having level energy $\pm \epsilon$) discussed on the Wikipedia page.

The temperature can be calculated exactly as: $$ \frac{1}{T} = \frac{1}{2}\ln\left(\frac{N+1-E}{N+1+E}\right)\;, $$ where, for simplicity, I set $k=\epsilon=1$, so the value of $E$ ranges from $-N$ to $N$. The temperature is zero when $E=0$ and the temperature is negative when $E$ is positive.

You can start to understand this, for example, by considering the highest energy state. Just like the lowest energy state, the highest energy state is perfectly ordered, having all atoms in the upper state. Thus, just like the lowest energy state, the highest energy state also has zero entropy. Thus, as we approached the highest energy state from below the entropy must have been decreasing.

In this bounded system the entropy is actually largest when $E=0$, therefore the entropy decreases when either $E$ increases away from zero (negative temperature) or when $E$ decreases away from zero (positive temperature).

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You have arrived at the expected result: negative temperature means negative kinetic energy, which is impossible; therefore negative temperature is impossible.

This is why $0\,\text{K}$ is considered to be absolute zero: you cannot get colder than that because at that temperature there is no more kinetic energy to take away. You can’t even get to $0\,\text{K}$ because in order to cool something you need to put it next to something colder (barring something like laser cooling); it would take an infinite number of steps to get to absolute zero.

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You can't have negative kinetic energy. Kinetic energy is half times the mass times the velocity squared. As a squared quantity cannot be negative, the mass would have to be negative in order for negative kinetic energy. Mass cannot be negative.

Zero kelvin is the limit. There is no way for something to be colder than an object at 0 K. In fact that 0 K object cannot exist for you would know both the position and the momentum of the particle, violating Heisenberg's uncertainty principle.

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