1
AIPMT 2011 Prelims
MCQ (Single Correct Answer)
+4
-1
Four electric charges +q, +q, $$-$$ q and $$-$$ q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, midway between the two charges + q and +q, is

AIPMT 2011 Prelims Physics - Electrostatics Question 48 English
A
$${1 \over {4\pi {\varepsilon _0}}}{{2q} \over L}\left( {1 + \sqrt 5 } \right)$$
B
$${1 \over {4\pi {\varepsilon _0}}}{{2q} \over L}\left( {1 + {1 \over {\sqrt 5 }}} \right)$$
C
$${1 \over {4\pi {\varepsilon _0}}}{{2q} \over L}\left( {1 - {1 \over {\sqrt 5 }}} \right)$$
D
zero
2
AIPMT 2011 Prelims
MCQ (Single Correct Answer)
+4
-1
A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will
A
increase four times
B
be reduced to half
C
remain the same
D
be doubled
3
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
The electric field at a distance $${{3R} \over 2}$$ from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance $${R \over 2}$$ from the centre of the sphere is
A
zero
B
E
C
$${E \over 2}$$
D
$${E \over 3}$$
4
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
Two positives ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron)
A
$${{4\pi {\varepsilon _0}F{d^2}} \over {{e^2}}}$$
B
$$\sqrt {{{4\pi {\varepsilon _0}F{e^2}} \over {{d^2}}}} $$
C
$$\sqrt {{{4\pi {\varepsilon _0}F{d^2}} \over {{e^2}}}} $$
D
$${{4\pi {\varepsilon _0}F{d^2}} \over {{q^2}}}$$
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