A molecule of a substance has a permanent ele | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The dipole moment of a single molecule is $p_0 = 10^{-29} 	ext{ C m}$.Since $1 	ext{ mole}$ contains $6 	imes 10^{23}$ molecules,the total numb

Vedclass · Accepted Answer

-$12$ $J$

Vedclass · Answer

(B) The dipole moment of a single molecule is $p_0 = 10^{-29} 	ext{ C m}$.Since $1 	ext{ mole}$ contains $6 	imes 10^{23}$ molecules,the total number of molecules in $2 	ext{ moles}$ is $N = 2 	imes 6 	imes 10^{23} = 12 	imes 10^{23}$ molecules.The total dipole moment $P$ of the substance when all dipoles are aligned with the field is $P = N 	imes p_0 = 12 	imes 10^{23} 	imes 10^{-29} = 12 	imes 10^{-6} 	ext{ C m}$.The potential energy $U$ of a dipole in an external electric field $E$ is given by $U = -P E \cos 	heta$. For maximum polarization at low temperature,the dipoles align with the field,so $	heta = 0^{\circ}$.Substituting the values: $U = -(12 	imes 10^{-6} 	ext{ C m}) 	imes (10^6 	ext{ V m}^{-1}) 	imes \cos(0^{\circ}) = -12 	imes 1 	imes 1 = -12 	ext{ J}$.

Similar Questions

For the shown situation of two dipoles,the nature of forces between them is:

An electric dipole of moment $\vec{p}$ is kept in a uniform electric field $\vec{E}$. The angle between $\vec{p}$ and $\vec{E}$ is $30^\circ$. Calculate the work done by the field when the angle is increased to $60^\circ$.

Mention the direction of the electric dipole moment. Write the $SI$ unit of the electric dipole moment.

The electric field due to a dipole at a distance $r$ on its axis is

$A$ given charge situated at a distance $r$ from an electric dipole on its axis experiences a force $F$. If the distance of the charge from the dipole is doubled,the force acting on the charge will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module