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AI Gen: Electrostatics question bank (Physics)

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Q1.

An electric dipole of dipole moment $p$ is placed in a uniform electric field $E$ such that the dipole axis makes an angle of $30^\circ$ with the field. If the torque experienced by the dipole is $4\text{ Nm}$, what is the work done in rotating the dipole from this position to a position of stable equilibrium?

Topic: Electrostatics | Source: AI Generated (JEE Main)

(A)

$4\text{ J}$

(B)

$8(\sqrt{3}-1)\text{ J}$

(C)

$8\text{ J}$

(D)

$4(\sqrt{3}-1)\text{ J}$

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Q2.

A thin conducting spherical shell of radius $R$ has a total charge $Q$. Another concentric thin spherical shell of radius $2R$ has a charge $-2Q$. The electric potential at a distance $1.5R$ from the center of the shells is:

Topic: Electrostatics | Source: AI Generated (JEE Main)

(A)

$-\frac{Q}{4\pi\varepsilon_0 R}$

(B)

$-\frac{Q}{8\pi\varepsilon_0 R}$

(C)

$\frac{Q}{4\pi\varepsilon_0 R}$

(D)

$\frac{3Q}{4\pi\varepsilon_0 R}$

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