Statement $(I)$: $A$ device in which heat measurement can be made is called a calorimeter.
Statement $(II)$: Skating is possible on snow due to the formation of water below the skates. Water is formed due to the increase of temperature and ice melts.
Statement $(III)$: Two bodies at different temperatures are mixed in a calorimeter. The total internal energy of the two bodies remains conserved.
Which of the following is correct?

• A
  Statements $I$, $II$ and $III$ are true
• B
  Statement $I$ is true, but statements $II$ and $III$ are false
• C
  Both statements $I$ and $II$ are true, but statement $III$ is false
• D
  Both statements $I$ and $III$ are true, but statement $II$ is false