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The torque acting on the dipole and the potential energy are, respectively 

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Important Questions on Electric Charges and Fields

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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 97
An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, the force on it and its potential energy are, respectively
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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 98
An electric dipole of moment p is placed in an electric field of intensity E. The dipole acquires a position such that the axis of the dipole makes an angle θ with the direction of the field. Assuming that the potential energy of the dipole to be zero when θ = 9 0 o , the torque and the potential energy of the dipole will respectively be
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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 99
An electric dipole of length 1 cm is placed with the axis making an angle of 30° to an electric field of strength104NC-1. If it experiences a torque of 102Nm, the potential energy of the dipole is
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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 101
An electric dipole of dipole moment (P) is placed in an electric field (E) in stable equilibrium position. Which of the following represents the torque acting on the body?
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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 102
Charge is distributed within a sphere of radius R with a volume charge density ρr=Ar2e-2ra, where A and a are constants. If Q is the total charge of this charge distribution, the radius R is_____.
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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 107
A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in figure. All the three charges are positive. The force on the charge at the centre is

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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 111
A very long uniformly charged circular cylinder (radius R) has a surface charge density σ. A very long uniformly charged line charge (linear charge density λ) is placed along the cylinder axis. If the electric field intensity vector outside the cylinder is zero, then:
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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 112
Gauss's law is valid for