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JEE Main 20249 AprilEvening Shift

Exam: JEE Main
Year: 2024
Date: 9 April
Shift: Evening Shift
Subject: Physics
Chapter: Thermal Properties of Matter

JEE Main 2024 · 9 April · Evening Shift · Physics · Thermal Properties of Matter

At room temperature (27^ C) , the resistance of a heating element...

At room temperature

\left(27^{\circ} \mathrm{C}\right)

, the resistance of a heating element is

50 \Omega

. The temperature coefficient of the material is

2.4 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}

. The temperature of the element, when its resistance is

62 \Omega

, is _____

{ }^{\circ} \mathrm{C}

.

Correct answer

0

Step-by-step solution

\begin{aligned} & \mathrm{R}=\mathrm{R}_0(1+\alpha \Delta \mathrm{T}) \\ & 62=50\left[1+2.4 \times 10^{-4} \Delta \mathrm{T}\right] \\ & \Delta \mathrm{T}=1000^{\circ} \mathrm{C} \\ & \Rightarrow \mathrm{T}-27^{\circ}=1000^{\circ} \mathrm{C} \\ & \mathrm{T}=1027^{\circ} \mathrm{C}\end{aligned}

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