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    3.

    Consider a circular ring of radius rr, uniformly charged with linear charge density Ξ»\lambda. Find the electric potential at a point on the axis at a distance xx from the centre of the ring. Using this expression for the potential, find the electric field at this point.

    A

    rΞ»xΞ΅0(x2+r2)3/2\frac{r \lambda x}{\varepsilon_0\left(x^2+r^2\right)^{3 / 2}}

    B

    2rΞ»x2Ξ΅0(x2+r2)3/2\frac{2r \lambda x}{2 \varepsilon_0\left(x^2+r^2\right)^{3 / 2}}

    C

    rΞ»x4Ξ΅0(x2+r2)3/2\frac{r \lambda x}{4 \varepsilon_0\left(x^2+r^2\right)^{3 / 2}}

    D

    rΞ»x2Ξ΅0(x2+r2)3/2\frac{r \lambda x}{2 \varepsilon_0\left(x^2+r^2\right)^{3 / 2}}

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    4.

    Assertion:- The dipoles in a dielectric are not completely aligned in weak external electric field. Reason:- Thermal energy tends to de-align them.

    A

    If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion

    B

    If both Assertion & Reason are True but Reason is not a correct explanation of the Assertion

    C

    If Assertion is True but the Reason is False

    D

    If both Assertion & Reason are False

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    5.

    For a short dipole, the electric potential at a point is given by V=kp\coshetar2V = \frac{kp\cosheta}{r^2}. What does hetaheta represent in this equation?

    A

    The angle between the dipole moment and the electric field

    B

    The angle between the dipole moment and the position vector of the point

    C

    The angle between the electric field and the position vector of the point

    D

    The angle between the dipole moment and the equatorial line

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    9.

    Which of the following is not true?

    A

    For a point charge, the electrostatic potential varies as 1/r1 / r

    B

    For a dipole, the potential depends on the position vector and dipole moment vector

    C

    The electric dipole potential varies as 1/r1 / r at large distance

    D

    For a point charge, the electrostatic field varies as 1/r21 / r^2

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