In order to determine the Young's Modulus of a wire of radius $0.2 \mathrm{cm}$ (measured using a scale of least count $=0.001 \mathrm{cm}$) and length $1 \mathrm{m}$  (measured using a scale of least count $=1 \mathrm{mm}$), a weight of mass $1 \mathrm{kg}$ (measured using a scale of least count $=1 \mathrm{g}$ ) was hanged to get the elongation of $0.5 \mathrm{cm}$ (measured using a scale of least count $0.001 \mathrm{cm}$). What will be the fractional error in the value of Young's Modulus determined by this experiment?

• A

  $0.14\%$
• B

  $0.9\%$
• C

  $9\%$
• Correct answer
  D

  $1.4\%$

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