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AIIMS 2009
Exam
AIIMS
Year
2009
Subject
Physics
Chapter
Current Electricity

AIIMS 2009 · Physics · Current Electricity

When a current is passed in a conductor, 3^ C rise in temperature...

When a current is passed in a conductor, 3∘C3^{\circ} \mathrm{C} rise in temperature is observed. If the strength of current is made thrice, then rise in temperature will approximately be

Options

  1. A36∘C36^{\circ} \mathrm{C}
  2. B27∘C27^{\circ} \mathrm{C}
  3. C18∘C18^{\circ} \mathrm{C}
  4. D9∘C9^{\circ} \mathrm{C}

Correct answer

B. 27∘C27^{\circ} \mathrm{C}

Step-by-step solution

 (b) : H=I2Rt=mcΔθ∴Δθ∝I2\begin{aligned} & \text{ (b) : } H=I^2 R t=m c \Delta \theta \\ & \therefore \Delta \theta \propto I^2\end{aligned} Hence Δθ2Δθ1=(I2I1)2\frac{\Delta \theta_2}{\Delta \theta_1}=\left(\frac{I_2}{I_1}\right)^2 or Δθ23=(3II)2\frac{\Delta \theta_2}{3}=\left(\frac{3 I}{I}\right)^2 or Δθ2=9×3=27∘C\Delta \theta_2=9 \times 3=27^{\circ} \mathrm{C}
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