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  • A constant voltage is applied between two ends of a given metal rod. Some heat is developed in it. The heat is doubled whenOption: 1 Both length and

A constant voltage is applied between two ends of a given metal rod. Some heat is developed in it. The heat is doubled when

Option: 1

Both length and radius are doubled


Option: 2

The radius of wire is doubled


Option: 3

The length and radius of wire is halved


Option: 4

The length of wire is doubled


Answers (1)

best_answer

Heat is given by \frac{V^2}{R}.

and R=\frac{\rho L}{A}=\frac{\rho L}{\pi R^2}

So,

 \begin{aligned} & H=\frac{V^2}{\rho L} \pi R^2 \\ & H=\left(\frac{\pi V^2}{\rho}\right) \frac{R^2}{L} \end{aligned}

Hence H is doubled if radius and length both get doubled.

 

Posted by

avinash.dongre

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