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Two wires A and B of the same material, having radii in the ratio 1 : 2 and carry currents in the ratio 4 :1. The ratio of drift speed of electrons in A and B is -

Option: 1

 16 : 1


Option: 2

1 : 16


Option: 3

1 : 4


Option: 4

 4 : 1


Answers (1)

best_answer

\begin{aligned} \mathrm{Vd}= & \frac{\mathrm{I}}{\mathrm{ne}\left(\pi \mathrm{r}^2\right)} \propto \frac{\mathrm{I}}{\mathrm{r}^2} \\ & \frac{\mathrm{Vd}_1}{\mathrm{Vd}_2}=\left(\frac{4}{1}\right) \times\left(\frac{2}{1}\right)^2=16: 1 \end{aligned}

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Sanket Gandhi

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