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Column I gives a situation in which two dipoles of dipole mome

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Solving time: 5 mins

Column I gives a situation in which two dipoles of dipole moment $p \hat{i}$ and $3 p \hat{j}$ are placed at origin. A circle of radius $R$ with centre at origin is drawn as shown in figure. Column II gives coordinates of certain positions on the circle. Choose the correct option.

(A) \to (p), (B) \to (s), (C) \to (q), (D) \to (r)

(A) \to (s), (B) \to (p), (C) \to (q), (D) \to (r)

(A) \to (q), (B) \to (s), (C) \to (p), (D) \to (r)

(A) \to (r), (B) \to (s), (C) \to (q), (D) \to (p)

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Text solutionVerified

The resultant dipole moment has magnitude

(3 P)^{2} + P^{2} = 2 P

at an angle

θ = tan^{- 1} \frac{3 P}{P} = 6 0^{\circ}

with positive

x

direction.
Solution Image

Diameter AB is along net dipole moment and diameter CD is normal to net dipole moment.

∴

Potential at

A (\frac{R}{2}, \frac{3 R}{2})

is maximum
Potential is zero at

C (\frac{3 R}{2}, - \frac{R}{2})

and

D (- \frac{3 R}{2}, \frac{R}{2})

Magnitude of electric field is

\frac{1}{4 π ε _{0}} \frac{4 p}{R ^{3}}

A (\frac{R}{2}, \frac{3 R}{2})

and

B (- \frac{R}{2}, - \frac{3 R}{2})

Magnitude of electric field is

\frac{1}{4 π ε _{0}} \frac{2 p}{R ^{3}}

C (\frac{3 R}{2}, - \frac{R}{2})

and

D (- \frac{3 R}{2}, \frac{R}{2})

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Column I gives a situation in which two dipoles of dipole moment

p \hat{i}

and

3 p \hat{j}

are placed at origin. A circle of radius

R

with centre at origin is drawn as shown in figure. Column II gives coordinates of certain positions on the circle. Choose the correct option.

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Question Text	Column I gives a situation in which two dipoles of dipole moment $p \hat{i}$ and $3 p \hat{j}$ are placed at origin. A circle of radius $R$ with centre at origin is drawn as shown in figure. Column II gives coordinates of certain positions on the circle. Choose the correct option.
Topic	Electric Charges and Fields
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	125

Column I gives a situation in which two dipoles of dipole moment $p \hat{i}$ and $3 p \hat{j}$ are placed at origin. A circle of radius $R$ with centre at origin is drawn as shown in figure. Column II gives coordinates of certain positions on the circle. Choose the correct option.

Text solutionVerified

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Column I gives a situation in which two dipoles of dipole moment $p \hat{i}$ and $3 p \hat{j}$ are placed at origin. A circle of radius $R$ with centre at origin is drawn as shown in figure. Column II gives coordinates of certain positions on the circle. Choose the correct option.