JEE Mains · Physics · STD 12 -7. Alternating current
The figure given below shows an \(LCR\) series circuit with two switches \(S_1\) and \(S_2\). When switch \(S_1\) is closed keeping \(S_2\) open, the phase difference \((\phi)\) between the current and source voltage is \(30°\) and phase difference is \(60°\) when \(S_2\) is closed keeping \(S_1\) open. The value of \((3L_1 - L_2)\) is _______ H.
- A \(\dfrac{9}{2}\)
- B \(\dfrac{2}{9}\)
- C \(\dfrac{1}{3}\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(\dfrac{2}{9}\)
Step-by-step Solution
Detailed explanation
From the source \(v = V_0 \sin(300t)\), the angular frequency is \(\omega = 300\text{ rad/s}\). Capacitance \(C = 100\ \mu\text{F} = 10^{-4}\text{ F}\), so \(X_C = \dfrac{1}{\omega C}\). Case 1 (\(S_1\) closed, \(S_2\) open): Closing \(S_1\) short-circuits \(L_2\), leaving an…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Given below are two statements: Statement \(I:\) Rotation of the earth shows effect on the value of acceleration due to gravity \((g)\). Statement \(II:\) The effect of rotation of the earth on the value of \(g\) at the equator is minimum and that at the pole is maximum. In the light of the above statements, choose the correct answer from the options given below.JEE Mains 2023 Medium
- From the given transfer characteristic of a transistor in \(CE\) configuration, the value of power gain of this configuration is \(10^{ x }\), for \(R_B=10\,k \Omega\), and \(R _C=1\,k \Omega\). The value of \(x\) is \(.....\).
JEE Mains 2023 Hard - Light is incident normally on a completely absorbing surface with an energy flux of \(25\,W\,cm^{-2}.\) If the surface has an area of \(25\,cm^2,\) the maximum momentum transferred to the surface in \(40\,min\) time duration will beJEE Mains 2019 Medium
- A telescope with objective diameter \(R\) is used to observe a distant star emitting light of wavelength \(500\) nm, at a resolution of \(5 \times 10^{-7}\) radian. The value of \(R\) is _____ cm.JEE Mains 2026 Medium
- A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20 cm , respectively. The concave surface is upwards and is filled with a liquid of refractive index 1.3. The focal length of the liquid-glass combination will be _______.JEE Mains 2025 Hard
- Four identical rectangular plates with length, \(l=2\, cm\) and breadth, \(b =\frac{3}{2}\, cm\) are arranged as shown in figure. The equivalent capacitance between \(A\) and \(C\) is \(\frac{ x \varepsilon_{0}}{ d } .\) The value of \(x\) is (Round off to the Nearest Integer)
JEE Mains 2021 Medium
More PYQs from JEE Mains
- A box weighs \(196 \;\mathrm{N}\) on a spring balance at the north pole. Its weight recorded on the same balance if it is shifted to the equator is close to ....... \(N\) (Take \(\mathrm{g}=10\; \mathrm{ms}^{-2}\) at the north pole and the radius of the earth \(=6400\; \mathrm{km}\))JEE Mains 2020 Medium
- The number of onto functions \(f\) from \(\{1, 2, 3, …, 20\}\) only \(\{1, 2, 3, …, 20\}\) such that \(f(k)\) is a multiple of \(3\), whenever \(k\) is a multiple of \(4\), isJEE Mains 2019 Hard
- A ball is spun with angular acceleration \(\alpha=6 t ^{2}-2 t\) where \(t\) is in second and \(\alpha\) is in \(rads\) \(^{-2}\). At \(t=0\), the ball has angular velocity of \(10\,rads\) \(^{-1}\) and angular position of \(4\,rad\). The most appropriate expression for the angular position of the ball isJEE Mains 2022 Medium
- A rigid square loop of side \(a\) and carrying current \(I_2\) is laying on a horizontal surface near a long current \(I_1\) wire in the same plane as shown in figure. The net force on the loop due to the wire will be
JEE Mains 2019 Hard - Given below are two statements : Statement\(-I:\) Acceleration due to gravity is different at different places on the surface of earth. Statement\(-II:\) Acceleration due to gravity increases as we go down below the earth's surface. In the light of the above statements, choose the correct answer from the options given belowJEE Mains 2023 Medium
- An iron rod of volume \(10^{-3}\, m ^{3}\) and relative permeability \(1000\) is placed as core in a solenoid with \(10\) \(turns/cm.\) If a current of \(0.5\, A\) is passed through the solenoid, then the magnetic moment of the rod will be\(...........Am^2\)JEE Mains 2020 Medium