1
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
Change Language
The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius 'a' centred at the origin of the field, will be given by
A
$$4\pi {\varepsilon _0}A{a^3}$$
B
$${\varepsilon _0}A{a^3}$$
C
$$4\pi {\varepsilon _0}A{a^2}$$
D
$$A{\varepsilon _0}{a^2}$$
2
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
Change Language
In a region, the potential is represented by V(x, y, z) = 6x $$-$$ 8xy $$-$$ 8y + 6yz,   where $$V$$ is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is
A
$$6\sqrt 5 $$ N
B
30 N
C
24 N
D
$$4\sqrt {35} $$ N
3
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
Change Language
A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere rrespectively are
A
zero and $${Q \over {4\pi {\varepsilon _0}{R^2}}}$$
B
$${Q \over {4\pi {\varepsilon _0}R}}$$ and zero
C
$${Q \over {4\pi {\varepsilon _0}R}}$$ and $${Q \over {4\pi {\varepsilon _0}{R^2}}}$$
D
both are zero
4
NEET 2013 (Karnataka)
MCQ (Single Correct Answer)
+4
-1
Change Language
A charge q is placed at the centre of the line joining two equal charges Q. The system of the three charges will be in equilibrium if q is equal to
A
$$-$$Q/4
B
Q/4
C
$$-$$Q/2
D
Q/2
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