JEE Mains · Physics · STD 12 -7. Alternating current
Given below are two statements : Statement \(I\) : In an \(LCR\) series circuit, current is maximum at resonance. Statement \(II\) : Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to same voltage source. In the light of the above statements, choose the correct from the options given below :
- A Statement \(I\) is true but Statement \(II\) is false
- B Statement \(I\) is false but Statement \(II\) is true
- C Both Statement \(I\) and Statement \(II\) are true
- D Both Statement \(I\) and Statement \(II\) are false
Answer & Solution
Correct Answer
(C) Both Statement \(I\) and Statement \(II\) are true
Step-by-step Solution
Detailed explanation
Statement-\(I\) \(\mathrm{I}_{\mathrm{m}}=\frac{\mathrm{V}_{\mathrm{m}}}{\sqrt{\mathrm{R}^2+\left(\mathrm{X}_{\mathrm{L}}-\mathrm{X}_{\mathrm{C}}\right)^2}}\) at resonance \(\mathrm{X}_{\mathrm{L}}=\mathrm{X}_{\mathrm{C}}\) Thus, \(I_m=\frac{V_m}{R}\) \(\because\) Impendence is…
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
- If \(\in\), \( E \) and \( t \) represent the free space permittivity, electric field and time respectively, then the unit of \( \frac{eE}{t} \) will be :JEE Mains 2026 Medium
- To verify Ohm's law, a student connects the voltmeter across the battery as, shown in the figure. The measured voltage is plotted as a function of the current, and the following graph is obtained If \(V_0\) is almost zero, identify the correct statement
JEE Mains 2019 Medium - A long conducting wire having a current \(I\) flowing through it, is bent into a circular coil of \(N\) turns.Then it is bent into a circular coil of \(n\) tums. The magnetic field is calculated at the centre of coils in both the cases. The ratio of the magnetic field in first case to that of second case is:JEE Mains 2023 Medium
- For a charged spherical ball, electrostatic potential inside the ball varies with \(r\) as \(V =2 ar ^2+ b\). Here, \(a\) and \(b\) are constant and \(r\) is the distance from the center. The volume charge density inside the ball is \(-\lambda a \varepsilon\). The value of \(\lambda\) is \(...........\). \(\varepsilon=\) permittivity of medium.JEE Mains 2023 Hard
- For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is \(1\,kg\), the angular frequency is \(\omega_1\). When the mass block is \(2\,kg\) the angular frequency is \(\omega_2\). The ratio \(\omega_2 / \omega_1\) is
JEE Mains 2023 Easy - If \(L , C\) and \(R\) are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?JEE Mains 2022 Medium
More PYQs from JEE Mains
- Arrange the following in the ascending order of wavelength \((\lambda)\) :
(A) Microwaves \(\left(\lambda_1\right)\)
(B) Ultraviolet rays \(\left(\lambda_2\right)\)
(C) Infrared rays \(\left(\lambda_3\right)\)
(D) X-rays \(\left(\lambda_4\right)\)
Choose the most appropriate answer from the options given below :JEE Mains 2025 Medium - If \(\vec{a}\) is nonzero vector such that its projections on the vectors \(2 \hat{i}-\hat{j}+2 \hat{k}, \hat{i}+2 \hat{j}-2 \hat{k}\) and \(\hat{k}\) are equal, then a unit vector along \(\vec{a}\) is:JEE Mains 2025 Medium
- If \(\int \frac{\left(\sqrt{1+x^2}+x\right)^{10}}{\left(\sqrt{1+x^2}-x\right)^9} d x=\)
\(\frac{1}{m}\left(\left(\sqrt{1+x^2}+x\right)^n\left(n \sqrt{1+x^2}-x\right)\right)+C\)
where C is the constant of integration and \(m, n \in N\), then \(\mathrm{m}+\mathrm{n}\) is equal toJEE Mains 2025 Hard - A square aluminium (shear modulus is \(25 \times 10^{9}\,Nm ^{-2}\) ) slab of side \(60\,cm\) and thickness \(15\,cm\) is subjected to a shearing force (on its narrow face) of \(18.0 \times 10^{4}\,N\). The lower edge is riveted to the floor. The displacement of the upper edge is \(.......\mu\,m\).JEE Mains 2022 Hard
- A fair coin is tossed \(n\)-times such that the probability of getting at least one head is at least \(0.9 .\) Then the minimum value of \(n\) is \(....\)JEE Mains 2021 Easy
- The vector \(\vec{a}=-\hat{i}+2 \hat{j}+\hat{k}\) is rotated through a right angle, passing through the \(y\)-axis in its way and the resulting vector is \(\vec{b}\). Then the projection of \(3 \vec{a}+\sqrt{2} \vec{b}\) on \(\vec{c}=5 \hat{i}+4 \hat{j}+3 \hat{k}\) isJEE Mains 2023 Hard