An Electric Toaster... | JEE Main 2024

JEE-Main_2024

300124_(S1)

Question

An electric toaster has resistance of 60Ω at room temperature $\left(27^{\circ} \mathrm{C}\right)$. The toaster is connected to a 220 V supply. If the current flowing through it reaches 2.75" " A, the temperature attained by toaster is around : (if $\left.\alpha=2 \times 10^{-4} /{ }^{\circ} \mathrm{C}\right)$

Select the correct option:

$694^{\circ} \mathrm{C}$

$1235^{\circ} \mathrm{C}$

$1694^{\circ} \mathrm{C}$

$1667^{\circ} \mathrm{C}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & \mathrm{R}_{\mathrm{T}=27}=60 \Omega, R_T=\frac{220}{2.75}=80 \Omega \\ & \mathrm{R}=\mathrm{R}_0(1+\alpha \Delta \mathrm{T}) \\ & 80=60\left[1+2 \times 10^{-4}(\mathrm{~T}-27)\right] \\ & \mathrm{T} \approx 1694^{\circ} \mathrm{C}\end{aligned}$

Question Tags

JEE Main

Physics

Medium

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