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Q.

A $5^{0} C$ rise in the temperature is observed in a conductor by passing some current. When the current is doubled, then rise in temperature will be equal to ---- $^{0} C$

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answer is 20.

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Detailed Solution

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$i^{2} R t = m S △ θ$

$\Rightarrow \frac{i_{1}^{2}}{i_{2}^{2}} = \frac{△ θ_{1}}{△ θ_{2}} \Rightarrow \frac{i^{2}}{4 i^{2}} = \frac{5}{△ θ}$

$\Rightarrow △ θ = 20^{0} C$

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A 50C rise in the temperature is observed in a conductor by passing some current. When the current is doubled, then rise in temperature will be equal to ---- 0C