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Grade 12th passThermal Physics

please help me in solving out this problem.please reply me soon

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Shiva Pallikonda

7 Years agoGrade 12th pass

1 Answer

Rajdeep

7 Years ago

HELLO THERE!

Here’s your answer:

Let,

$R_{1} = R \\ \alpha_{1} = \alpha \\\\ R_{2} = 3R \\\alpha_{2} = 2\alpha$

For parallel combination,

$\frac{1}{R_{eq}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} \\\\\\R_{eq} = \frac{R_{1}R_{2}}{R_{1} + R_{2}}$

Again,

$\frac{\alpha_{1}}{R_{1}} + \frac{\alpha_{2}}{R_{2}} = \frac{\alpha_{eq}}{R_{eq}} \\\\\\or, \alpha_{eq} = \frac{\alpha_{1}R_{2} + \alpha_{2}R_{1}}{R_{1} + R_{2}} \\\\= \frac{\alpha \times 3R + 2\alpha \times R}{4R} \\\\\\\alpha_{eq} = \frac{5}{4} \alpha$

So, Option (A) is the correct answer!

THANKS!

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