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MHT-CET Electromagnetism — practice questions

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Gauss's law for electric flux through a closed surface enclosing total charge $q$ is:The electric field intensity at any point **inside** a uniformly charged hollow conducting sphere is:The SI unit of capacitance is:Electrostatic potential due to a point charge $q$ at distance $r$ in vacuum is:An electric dipole of moment $\vec p$ is placed in a uniform external field $\vec E$. The torque on it is:Under electrostatic equilibrium, the net electric field in the **interior** of a conductor is:An equipotential surface in any electric field is:When $n$ identical capacitors of capacitance $C$ are connected in series, the equivalent capacitance is:A delicate galvanometer placed inside a sealed metal box is unaffected by a strong external electric field. ThThe dipole moment $\vec p$ of a pair of charges $+q$ and $-q$ separated by $2\ell$ is directed:Using Gauss's law for an infinitely long straight wire with linear charge density $\lambda$, the electric fielFor an infinite plane sheet carrying uniform surface charge density $ igma$, the magnitude of the electric fieA thin wire is bent into a circular ring of radius 10 cm. A charge of 250 μC spreads uniformly over it. The elTwo equal charges of $3 \times 10^{-5}$ C each are brought from infinity to a separation of 30 cm. The electroThe equipotential surfaces shown are around an isolated point charge. The shape and behaviour of these surfaceThe figure shows equipotential surfaces in a region of uniform electric field. The correct interpretation is: Three capacitors of 4 μF each are connected: two in parallel, that combination in series with the third. The eA parallel-plate air capacitor has capacitance $C_0$. A dielectric slab of dielectric constant $k$ is insertedWhich of the following molecules is **non-polar** (has zero permanent dipole moment)?For a linear isotropic dielectric, the polarization $\vec P$ produced by an applied field $\vec E$ is:A short dipole of moment $p = 1 \times 10^{-9}$ C·m. The electric potential due to it at 0.3 m from the centreWork done in moving a 6 C charge between two points raises the system's potential energy by 120 J. If the starTwo charges $5 \times 10^{-8}$ C and $-3 \times 10^{-8}$ C are placed 16 cm apart on the x-axis (positive charFour charges $+q$, $-q$, $+q$, $-q$ are placed at the corners of a square of side $r$ in cyclic order. The eleA charged particle carrying $-1.6 \times 10^{-19}$ C is held in equilibrium against gravity between two horizoA spherical capacitor consists of two concentric conducting shells of inner radius $a$ and outer radius $b$. IA cylindrical capacitor consists of two coaxial conducting cylinders of length $l$ and radii $a$ (inner) and $An electric dipole of moment $p = 2 \times 10^{-8}$ C·m is placed in a uniform field $E = 10^5$ N/C. The work A dielectric slab of thickness $t$ and dielectric constant $k$ is introduced between the plates of a parallel-Two charges, $5$ nC at $(2\,\text{cm},0,0)$ and $-2$ nC at $(20\,\text{cm},0,0)$, are placed in free space witA charged particle moves with velocity v parallel to a uniform magnetic field B. The magnetic force on the parA circular loop of radius R carries current I. The magnitude of the magnetic field at its centre isThe angular frequency of a particle of charge q and mass m moving in a cyclotron with magnetic field B isTwo long parallel wires carry currents in the same direction. They willThe magnetic field inside an ideal long solenoid with n turns per unit length carrying current I isIn a crossed E and B velocity selector, a charged particle of speed v passes undeflected when v equalsA proton of mass m, charge e, speed v enters a magnetic field B perpendicular to its velocity. The radius of iA rectangular current loop is placed in a uniform magnetic field. The net force on the loop isA circular coil of N turns and radius R carries current I. Its magnetic dipole moment isThe magnitude of the magnetic field at perpendicular distance r from an infinite straight wire carrying currenThe magnetic field inside a toroidal solenoid with N total turns, mean radius r, carrying current I isThe period of revolution of a charged particle moving in a uniform magnetic field perpendicular to its velocitA 0.5 m wire carrying 2 A is placed perpendicular to a 0.4 T magnetic field. The force on the wire isTwo long parallel wires 0.1 m apart carry 5 A and 10 A in the same direction. The force per unit length on eacAt equilibrium, the deflection ϕ of a moving coil galvanometer with N turns, area A, current I, in a radial maAn electron enters a uniform magnetic field B at angle θ to B with speed v. The pitch of its helical path isA cyclotron of dee radius R accelerates ions of charge q, mass m in a magnetic field B. The maximum kinetic enA circular loop of radius R carries current I. The magnetic field at a point on its axis at distance x from thAt the very end of a long solenoid, the magnetic field along the axis isA magnetic dipole with moment m makes angle θ with a uniform field B. The torque on the dipole has magnitudeAn electron moves east in a magnetic field directed north. The magnetic force on the electron pointsTwo coaxial circular loops of radii R and 2R carry equal currents in the same sense. The ratio of the magneticA cyclotron operates at frequency f in a magnetic field B. The charge-to-mass ratio of the accelerated ion isThe current sensitivity of a moving coil galvanometer with N turns, coil area A, magnetic field B, spring consA 0.1 m radius loop carries 5 A. The magnetic field at a point on its axis 0.1 m from the centre is approximatA bar magnet with N pole pointing right is placed near a circular current loop whose magnetic moment also poinCyclotrons are not used to accelerate electrons becauseA long solenoid has 1000 turns per metre and carries 2 A. The magnetic field strength inside isA square coil of side 0.1 m, with 50 turns, carries 1 A in a 0.2 T field. The maximum torque on the coil isA charge q moves with velocity v through a region with electric field E and magnetic field B. The net electrom