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MHT-CET Electrostatics — practice questions

30 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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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 wit