Current Electricity Charging Discharging Of Capacitors Question 571

Question: The resistance of hot tungsten filament is about 10 times the cold resistance. What will be the resistance of 100 W and 200 V lamp when not in use

[AIEEE 2005]

Options:

A) $ 400,\Omega $

B) $ 200,\Omega $

C) $ 40\Omega $

D) $ 20,\Omega $

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Answer:

Correct Answer: C

Solution:

It is given $ R _{Hot}=10,R _{Cold} $ also resistance at rated temperature $ R=\frac{V^{2}}{P}=\frac{200\times 200}{100}=400,\Omega $ . So resistance when lamp not in use. $ R _{Cold}=\frac{R _{Hot}}{10}=\frac{400}{10}=40,\Omega $