In each situation of Column-I two elelctric dipoles having moments `vec(p)_(1)` and `vec(p)_(1)` of same magnitude `("that is ", p_(1)=p_(2))` are placed on x-axis symmetrically about origin in different orientations as shown. In column-II certain inferences are drawn for these two dipoles. Then match the different orientations of dipole in column-I with the corresponding result in column-II.
In each situation of Column-I two elelctric dipoles having moments `vec(p)_(1)` and `vec(p)_(1)` of same magnitude `("that is ", p_(1)=p_(2))` are placed on x-axis symmetrically about origin in different orientations as shown. In column-II certain inferences are drawn for these two dipoles. Then match the different orientations of dipole in column-I with the corresponding result in column-II.
Text Solution
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The correct Answer is:
(A) p, r (B) p, q, s (C) p, q (D) r, s
`:'` Electric field due to an electric dipole at a point on equatorial line of dipole makes either `0^(@)` or `180^(@)` with the dipole moment of another dipole.
`:.` Torque on dipole `vec(tau)=vec(P)xxvec(E)` becomes zero
`( :' theta=0 or theta=180^(@))` Hence in column II.
[P] option is suit for every queries for column I. Electrostalic potential energy `(U)=-PE cos theta`
`theta=` Angle between moment & electric field.
[A] Here `theta=180^(@) :. U=-PE cos 180^(@)=PE`(+ve)
[B] Here `theta=0^(@) :. U=-PE cos theta=-PE` (-ve)
`[C] & [D] : theta lt 90^(@) :. U=` -v
`:.` Torque on dipole `vec(tau)=vec(P)xxvec(E)` becomes zero
`( :' theta=0 or theta=180^(@))` Hence in column II.
[P] option is suit for every queries for column I. Electrostalic potential energy `(U)=-PE cos theta`
`theta=` Angle between moment & electric field.
[A] Here `theta=180^(@) :. U=-PE cos 180^(@)=PE`(+ve)
[B] Here `theta=0^(@) :. U=-PE cos theta=-PE` (-ve)
`[C] & [D] : theta lt 90^(@) :. U=` -v
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