1

JEE Advanced 2023 Paper 1 Online

MCQ (Single Correct Answer)

+3

-1

A series LCR circuit is connected to a $45 \sin (\omega t)$ Volt source. The resonant angular frequency of the circuit is $10^5 ~\mathrm{rad}~ \mathrm{s}^{-1}$ and current amplitude at resonance is $I_0$. When the angular frequency of the source is $\omega=8 \times 10^4 ~\mathrm{rad} ~\mathrm{s}^{-1}$, the current amplitude in the circuit is $0.05 I_0$. If $L=50 ~\mathrm{mH}$, match each entry in List-I with an appropriate value from List-II and choose the correct option.

List - I | List - II |
---|---|

(P) $I_0$ in $\mathrm{mA}$ | (1) 44.4 |

(Q) The quality factor of the circuit | (2) 18 |

(R) The bandwidth of the circuit in $\mathrm{rad}~ \mathrm{s}^{-1}$ | (3) 400 |

(S) The peak power dissipated at resonance in Watt | (4) 2250 |

(5) 500 |

2

JEE Advanced 2017 Paper 2 Offline

MCQ (Single Correct Answer)

+3

-0

Consider a simple RC circuit as shown in Figure 1.

Process 1 : In the circuit the switch S is closed at t = 0 and the capacitor is fully charged to voltage V

Process 2 : In a different process the voltage is first set to $${{{V_0}} \over 3}$$ and maintained for a charging time T >> RC. Then, the voltage is raised to $${{2{V_0}} \over 3}$$ without discharging the capacitor and again maintained for a time T >> RC. The process is repeated one more time by raising the voltage to V

These two processes are depicted in Figure 2.

Process 1 : In the circuit the switch S is closed at t = 0 and the capacitor is fully charged to voltage V

_{0}(i.e. charging continues for time T >> RC). In the process some dissipation (E_{D}) occurs across the resistance R. The amount of energy finally stored in the fully charged capacitor is E_{C}.Process 2 : In a different process the voltage is first set to $${{{V_0}} \over 3}$$ and maintained for a charging time T >> RC. Then, the voltage is raised to $${{2{V_0}} \over 3}$$ without discharging the capacitor and again maintained for a time T >> RC. The process is repeated one more time by raising the voltage to V

_{0}and the capacitor is charged to the same final voltage V_{0}as in Process 1.These two processes are depicted in Figure 2.

In Process 1, the energy stored in the capacitor E

_{C}and heat dissipated across resistance E_{D}are related by3

JEE Advanced 2017 Paper 2 Offline

MCQ (Single Correct Answer)

+3

-0

Consider a simple RC circuit as shown in Figure 1.

Process 1 : In the circuit the switch S is closed at t = 0 and the capacitor is fully charged to voltage V

Process 2 : In a different process the voltage is first set to $${{{V_0}} \over 3}$$ and maintained for a charging time T >> RC. Then, the voltage is raised to $${{2{V_0}} \over 3}$$ without discharging the capacitor and again maintained for a time T >> RC. The process is repeated one more time by raising the voltage to V

These two processes are depicted in Figure 2.

Process 1 : In the circuit the switch S is closed at t = 0 and the capacitor is fully charged to voltage V

_{0}(i.e. charging continues for time T >> RC). In the process some dissipation (E_{D}) occurs across the resistance R. The amount of energy finally stored in the fully charged capacitor is E_{C}.Process 2 : In a different process the voltage is first set to $${{{V_0}} \over 3}$$ and maintained for a charging time T >> RC. Then, the voltage is raised to $${{2{V_0}} \over 3}$$ without discharging the capacitor and again maintained for a time T >> RC. The process is repeated one more time by raising the voltage to V

_{0}and the capacitor is charged to the same final voltage V_{0}as in Process 1.These two processes are depicted in Figure 2.

In Process 2, total energy dissipated across the resistance E

_{D}is4

IIT-JEE 2010 Paper 1 Offline

MCQ (Single Correct Answer)

+3

-1

An AC voltage source of variable angular frequency $$\omega$$ and fixed amplitude V_{0} is connected in series with a capacitance C and an electric bulb of resistance R (inductance zero). When $$\omega$$ is increased

Questions Asked from Alternating Current (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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