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  • A constant potential difference is applied across the ends of a wire. Which one of the following operation will reduce the rate of heat generation to one third.O

A constant potential difference is applied across the ends of a wire. Which one of the following operation will reduce the rate of heat generation to one third.

Option: 1

Both diameter and length are \frac{1}{3}rd.


Option: 2

Diameter \frac{1}{3}rd. and length \frac{1}{5}th.


Option: 3

Diameter \frac{1}{5}th. and length \frac{1}{3}rd.


Option: 4

Both halved.


Answers (1)

best_answer

P=\frac{v^2}{R}

\begin{aligned} & \Rightarrow \rho=\frac{v^2}{\rho \cdot\left(\frac{l}{\pi D^2 l \9}\right)}=\frac{v^2\left(\pi D^2\right)}{9 \cdot \rho l} \\ & \Rightarrow P=\left(\frac{v^2 \pi}{9 \rho}\right) \cdot \frac{D^2}{l} \end{aligned}

\Rightarrow P=K \cdot \frac{D^2}{l} \Rightarrow P \propto \frac{D^2}{l}

Posted by

seema garhwal

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