Physics Electrostatics Potential & Capacitance JEE (Main) / AIEEE Problems Previous Years - ( Capacitance ) MCQ (Single Correct)

A resistor 'R' and 2µF capacitor in series is connected through a switch to 200 V direct supply. Across the capacitor is a neon bulb that lights up at 120 V. Calculate the value of R to make the bulb light up 5s after the switch has been closed. (log 10 2.5 = 0.4)

A
1.3 × 10 4 Ω
B
1.7 × 10 5 Ω
C
2.7 × 10 6 Ω
D
3.3 × 10 7 Ω

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Text Solution

Verified by Experts
The correct answer is:
C

v = 200(1 – e – t/ τ )

120 = 200(1 – e – t/ τ )

e – t/ τ = =

t/ τ = log(2.5) = 0.4

= (0.4) × R × 2 × 10 – 6

R =

= R = 2.7 × 10 6

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