Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Alternating Current question

2022 · Q165
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /NEET
  3. /Physics
  4. /Alternating Current
  5. /2022 · Q165

Alternating Current question

2022 · Q165

NEETPhysicsAlternating CurrentMCQ+4 / −1

A series LCR circuit with inductance 10 H, capacitance 10 μ\muμF, resistance 50 Ω\OmegaΩ is connected to an ac source of voltage, V = 200sin(100t) volt. If the resonant frequency of the LCR circuit is v0 and the frequency of the ac source is v, then

  1. A
    v0=v=50{v_0} = v = 50v0​=v=50 Hz
  2. B
    v0=v=50π{v_0} = v = {{50} \over \pi }v0​=v=π50​ Hz
  3. C
    v0=50π{v_0} = {{50} \over \pi }v0​=π50​ Hz, v=50v = 50v=50 Hz
  4. D
    v=100v = 100v=100 Hz, v0=100π{v_0} = {{100} \over \pi }v0​=π100​ Hz
View written solutionFree

Correct answer: B

$$\omega L = {1 \over {\omega C}}$$

$$\omega = {1 \over {\sqrt {LC} }} = {1 \over {\sqrt {10 \times 10 \times {{10}^{ - 6}}} }}$$

$\omega = 100$

$$\omega = 2\pi f \Rightarrow f = {\omega \over {2\pi }}$$

$${v_0} = {f_0} = {{100} \over {2\pi }} = {{50} \over \pi }$$ Hz, $\omega = 100$

$$v = f = {{100} \over {2\pi }} = {{50} \over \pi }$$

PreviousNext

More from Alternating Current

  • An inductor of inductance L, a capacitor of capacitance C and a resistor of resistance 'R' are connected in series to an ac source of potential difference 'V' volts as shown in figure. Potential difference across L, C and R is 40V, 10V and… Includes diagram2021 · MCQ
  • A capacitor of capacitance 'C', is connected across an ac source of voltage V, given by V = V0sinωt The displacement current between the plates of the capacitor, would then be given by :2021 · MCQ
  • A step down transformer connected to an ac mains supply of 220 V is made to operate at 11 V, 44W lamp. Ignoring power losses in the transformer, what is the current in the primary circuit ?2021 · MCQ
  • A series LCR circuit containing 5.0 H inductor, 80μF capacitor and 40Ω resistor is connected to 230V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power…2021 · MCQ
  • A 40 μF capacitor is connected to a 200 V. 50 Hz ac supply. The rms value of the current on the circuit is, nearly :2020 · MCQ
  • A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is 3π​. If instead C is removed from the circuit, the phase difference is again 3π​…2020 · MCQ
  • The magnetic potential energy stored in a certain inductor is 25 mJ, when the current in the inductor is 60 mA. This inductor is of inductance2018 · MCQ
  • An inductor 20 mH, a capacitor 100 μF and a resistor 50 Ω are connected in series across a source of emf, V = 10 sin 314 t. The power loss in the circuit is2018 · MCQ