Column I gives a situation in which two dipoles of dipole moment $p î$ and $\sqrt{3} \hat{p} \hat{j}$ are placed at origin. A circle of radius R with center at the origin is drawn as shown in figure. Column II gives coordinates of certain positions on the circle. Match the statements in column I with the statements in column II.

Column-I

Column-II
(A)
The coordinate(s) of point on circle where potential is maximum.
(p)
$(\frac{R}{2}, \frac{\sqrt{3} R}{2})$
(B)
The coordinate(s) of point on circle where potential is zero.
(q)
$(- \frac{R}{2}, - \frac{\sqrt{3} R}{2})$
(C)
The coordinate(s) of point on circle where magnitude of electric field intensity is $\frac{1}{4 π ε_{0}} \frac{4 p}{R^{3}}$
(r)
$(- \frac{\sqrt{3} R}{2}, \frac{R}{2})$
(D)
The coordinate(s) of point on circle where magnitude of electric field intensity is $\frac{1}{4 π ε_{o}} \frac{2 p}{R^{3}}$
(s)
$(\frac{\sqrt{3} R}{2}, - \frac{R}{2})$
The correct option is:

Question

Column I gives a situation in which two dipoles of dipole moment $p î$ and $\sqrt{3} \hat{p} \hat{j}$ are placed at origin. A circle of radius R with center at the origin is drawn as shown in figure. Column II gives coordinates of certain positions on the circle. Match the statements in column I with the statements in column II.

	Column-I		Column-II
(A)	The coordinate(s) of point on circle where potential is maximum.	(p)	$(\frac{R}{2}, \frac{\sqrt{3} R}{2})$
(B)	The coordinate(s) of point on circle where potential is zero.	(q)	$(- \frac{R}{2}, - \frac{\sqrt{3} R}{2})$
(C)	The coordinate(s) of point on circle where magnitude of electric field intensity is $\frac{1}{4 π ε_{0}} \frac{4 p}{R^{3}}$	(r)	$(- \frac{\sqrt{3} R}{2}, \frac{R}{2})$
(D)	The coordinate(s) of point on circle where magnitude of electric field intensity is $\frac{1}{4 π ε_{o}} \frac{2 p}{R^{3}}$	(s)	$(\frac{\sqrt{3} R}{2}, - \frac{R}{2})$

The correct option is:

Infinity Learn · Accepted Answer

(I)-(R, S) (II)-(P) (III)-(R, S) (IV)-(P, Q)

Detailed Solution

Best Courses for You

Get Expert Academic Guidance – Connect with a Counselor Today!