When a certain weight is suspended from a long uniform wire, its length increases by $\mathrm{1\; c}\mathrm{m}$. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one then the increase in length will be

• A

  $0.5 \mathrm{cm}$
• B

  $2 \mathrm{cm}$
• Correct answer
  C

  $4 \mathrm{cm}$
• D

  $8 \mathrm{cm}$

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