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Heater coil A takes t₁ second to boil certain quantity of water. Heater coil B takes t₂ second to boil same quantity of water. If A and B are connected in series, the time taken to boil the same quantity of water by the combination is

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$\sqrt{t_{1} t_{2}}$

$t_{1} + t_{2}$

$\frac{t_{1} t_{2}}{t_{1} + t_{2}}$

$\frac{1}{2} (t_{1} + t_{2})$

answer is B.

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Detailed Solution

$Q = \frac{V^{2}}{R} t$

$since, Q and V are constants$

$R \propto t$

$∴ t = t_{1} + t_{2}$

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