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Home > IIT JEE 2007 >

IIT JEE 2006 Paper : PHYSICS Section III - Comprehension Passage 2

Each comprehension passage contains 3 questions.
Each question below has only one correct answer.
In the IIT-JEE, you will be awarded 5 marks for each correct answer and −2 for each incorrect answer.
You will be awarded 0 marks for not attempting a question.

A capacitor of capacitance C can be charged with the help of a resistance R by a voltage source V by closing the switch S₁ while keeping the switch S₂ open. The capacitor can be connected in series with an inductor L by closing the switch S₂ and opening the switch S₁.
iit_jee_2006_physics_comprehension_2a

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Initially, the capacitor is uncharged. Now, switch S₁ is closed and S₂ is kept open. If the time constant of this circuit is τ, then

after time interval τ, charge on the capacitor is CV / 2

after time interval 2τ, charge on the capacitor is CV (1 − e⁻² )

after time interval 2τ, charge on the capacitor is CV(1 − e⁻¹ )

work done by the voltage source is half of the energy dissipated in the resistor, when the capacitor is fully charged.

Half-n-half Clue

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