A velocity $\frac{1}{4} \mathrm{~m} / \mathrm{s}$ is resolved into two components along $\mathrm{OA}$ and $\mathrm{OB}$ making angles $30^{\circ}$ and $45^{\circ}$ respectively with the given velocity. Then the component along $\mathrm{OB}$ is

• A

  $\frac{1}{8} \mathrm{~m} / \mathrm{s}$
• B

  $\frac{1}{4}(\sqrt{3}-1) \mathrm{m} / \mathrm{s}$
• C

  $\frac{1}{4} \mathrm{~m} / \mathrm{s}$
• Correct answer
  D

  $\frac{1}{8}(\sqrt{6}-\sqrt{2}) \mathrm{m} / \mathrm{s}$

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