Maths-
General
Easy
Question
For any two sets 
and 
, if 
and 
for some set 
, then
- None of these
The correct answer is:
Given,
and 
and are disjoint sets.
Also, 
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The void relation on a set is
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If 
, then 
is equal to
If , then is equal to
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The adjacent diagram shows a charge 
held on an insulating support 
and enclosed by a hollow spherical conductor. 
represents the centre of the spherical conductor and 
is a point such that 
and 
The electric field at point will be
The adjacent diagram shows a charge held on an insulating support and enclosed by a hollow spherical conductor. represents the centre of the spherical conductor and is a point such that and
The electric field at point will be
Physics-General
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Two large metal plates are placed parallel to each other. The inner surfaces of plates are charged by 
and
. The outer surfaces are neutral. The electric field is …… in the region between the plates and outside the plates
Two large metal plates are placed parallel to each other. The inner surfaces of plates are charged by and. The outer surfaces are neutral. The electric field is …… in the region between the plates and outside the plates
Physics-General
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A water molecule has an electric dipole moment 
when it is in vapour state. The distance in metre between the centre of positive and negative charge of the molecule is
A water molecule has an electric dipole moment when it is in vapour state. The distance in metre between the centre of positive and negative charge of the molecule is
Physics-General
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Consider the charge configuration and spherical Gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface the electric field will be due to
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The electric field due to a dipole at a distance 
on its axis is
The electric field due to a dipole at a distance on its axis is
Physics-General
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One metallic sphere is given positive charge whereas another identical sphere
of exactly same mass as of is given equal amount of negative charge. Then
One metallic sphere is given positive charge whereas another identical sphere
of exactly same mass as of is given equal amount of negative charge. Then
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If 
be the electric field strength of a short dipole at a point on its axial line and 
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If be the electric field strength of a short dipole at a point on its axial line and that on the equatorial line at the same distance, then
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The charges 
are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if 
is equal to
The charges are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if is equal to
Physics-General
Physics-General
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The equivalent capacitance between and as shown in the figure is
The equivalent capacitance between and as shown in the figure is
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An electric dipole when placed in a uniform electric field 
will have minimum potential energy, if the positive direction of dipole moment makes the following angle with
An electric dipole when placed in a uniform electric field will have minimum potential energy, if the positive direction of dipole moment makes the following angle with
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Let 
and be two relations on a set 
Then, which one of the following is not true?
Let and be two relations on a set Then, which one of the following is not true?
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is the set of all residents in a colony and is a relation defined on as follows:
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The relation is
is the set of all residents in a colony and is a relation defined on as follows:
“Two persons are related iff they speak the same language”
The relation is
Maths-General
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On the set of human beings a relation is defined as follows:
iff 
and 
have the same brother”. Then is
On the set of human beings a relation is defined as follows:
iff and have the same brother”. Then is
Maths-General
