Given below are two statements $:$
Statement $I :$ Dimethyl ether is completely soluble in water. However,diethyl ether is soluble in water to a very small extent.
Statement $II :$ Sodium metal can be used to dry diethyl ether and not ethyl alcohol. In the light of given statements,choose the correct answer from the options given below

• A
  Statement $I$ is false but Statement $II$ is true
• B
  Both Statement $I$ and Statement $II$ are false
• C
  Statement $I$ is true but Statement $II$ is false
• D
  Both Statement $I$ and Statement $II$ are true