Q110 / 270 · NDA 2016 (Phase 1) · General Ability

A given conductor carrying a current of 1 A produces an amount of heat equal to 2000 J . If the current through the conductor is doubled, the amount of heat produced will be

  • A
    2000 J
  • B
    4000 J
  • Correct answer
    C
    8000 J
  • D
    1000 J

Solution

Heat produced by the wire, $\mathrm{W}=\mathrm{I}^2 \mathrm{R}$ $\begin{aligned} & \mathrm{W}_1 / \mathrm{W}_2=\left(\mathrm{I}_1\right)^2 /\left(\mathrm{I}_2\right)^2 \\ & 2000 / \mathrm{W}_2=(1)^2\left((2)^2\right. \\ & \mathrm{W}_2=2000 \mathrm{X} 4 / 1 \\ & \mathrm{~W}_2=8000 \mathrm{~J} \end{aligned}$

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

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