Given below are two statements.
Statement I : The dipole moment of $\stackrel{4}{\mathrm{CH}_3}-\stackrel{3~~~~}{\mathrm{CH}}=\stackrel{3~~~~}{\mathrm{CH}}-\stackrel{1~~~~}{\mathrm{CH}}=\mathrm{O}$ is greater than $\stackrel{4}{\mathrm{CH}_3}-\stackrel{3}{\mathrm{CH}_2}-\stackrel{2}{\mathrm{CH}_2}-\stackrel{1}{\mathrm{CH}}=\mathrm{O}$
Statement II : $\mathbf{C}_1-\mathbf{C}_2$ bond length of $\underset{4}{\mathrm{CH}_3-\mathrm{}} \underset{3}{\mathrm{CH=}} \underset{2}{\mathrm{CH}}-\mathrm{CH}=\mathrm{O}$ is greater than $\mathrm{C}_1-\mathrm{C}_2$ bond length of
In the light of the above 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
• Correct answer
  C

  Statement I is true but Statement II is false
• D

  Both Statement I and Statement II are true

Solution

Statement-I :

$\mu=\mathrm{q} \times \mathrm{d}$
More charges and more distance between charges than other compound so more dipole moment. Statement-I is true.
Statement-II :
$\mathrm{C}_1-\mathrm{C}_2$ bond has partial double bond character that means lesser bond length than $\mathrm{C}_1-\mathrm{C}_2$ bond of other compound. Statement-II is false.

Hence, the correct answer is option: 'C'.