A resistance wire connected in the left gap of a metre bridge balances a $10\mathrm{\Omega }$ resistance in the right gap at a point which divides the bridge wire in the ratio $3:2$. If the length of the resistance wire is $1.5\mathrm{m}$, then the length of $1\mathrm{\Omega }$ of the resistance wire is:

• Correct answer
  A

  $1.0\times {10}^{-1} \mathrm{m}$
• B

  $1.5\times {10}^{-1} \mathrm{m}$
• C

  $1.5\times {10}^{-2} \mathrm{m}$
• D

  $1.0\times {10}^{-2} \mathrm{m}$

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