Two statements are given below. Select the option that correctly explains both statements.
Statement-$1$: In a perfectly elastic collision between two particles moving in the same direction,they do not lose all their energy.
Statement-$2$: The principle of conservation of momentum is valid for all types of collisions.

• A
  Statement-$1$ is true,Statement-$2$ is false.
• B
  Statement-$1$ is true,Statement-$2$ is true; Statement-$2$ is the correct explanation of Statement-$1$.
• C
  Statement-$1$ is true,Statement-$2$ is true; Statement-$2$ is not the correct explanation of Statement-$1$.
• D
  Statement-$1$ is false,Statement-$2$ is true.