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? - Physics MCQ AIEEE 2026 | ExamTest.live | ExamTest.live

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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?

A $40 Ω$
B $20 Ω$
C $400 Ω$
D $200 Ω$

Solution & Step-by-step Explanation

1. Hot resistance R_{h o t} : P = \frac{V ^{2}}{R} ⟹ R_{h o t} = \frac{V ^{2}}{P} = \frac{20 0 ^{2}}{100} = \frac{40000}{100} = 400 Ω 2. Cold resistance R_{co l d} : R_{h o t} = 10 R_{co l d} ⟹ R_{co l d} = \frac{400}{10} = 40 Ω

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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?

A

40 Ω

B

20 Ω

C

400 Ω

D

200 Ω

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