The pulley system, shown in the figure, has two pulleys of radii $2 \mathrm{m}$ and $1 \mathrm{m}$, respectively. If the acceleration of block $\mathrm{A}$ is $5 \mathrm{m} {\mathrm{s}}^{-2}$ in the downward direction, then the acceleration of block $\mathrm{B}$ will be

• A

  $0 \mathrm{m} {\mathrm{s}}^{-2}$
• B

  $5 \mathrm{m} {\mathrm{s}}^{-2}$
• C

  $10 \mathrm{m} {\mathrm{s}}^{-2}$
• Correct answer
  D

  $\frac{5}{2} \mathrm{m} {\mathrm{s}}^{-2}$

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