A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated…

A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be
  1. doubled
  2. four times
  3. one fourth
  4. halved

Solution

$\mathrm{H}=\frac{\mathrm{V}^2 \Delta \mathrm{t}}{\mathrm{R}}$ $\mathrm{H}^{\prime}=\frac{\mathrm{V}^2}{\mathrm{R}^{\prime}} \Delta \mathrm{t} \quad$ Given $\mathrm{R}^{\prime}=\mathrm{R} / 2$

Asked in: JEE Main 2005

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