1
AIPMT 2011 Mains
+4
-1
The electric potential V at any point (x, y, z), all in metres in space is given by V = 4x2 volt. The electric field at the point (1, 0, 2) in volt/meter, is
A
8 along negative X-axis
B
8 along positive X-axis
C
16 along negative X-axis
D
16 along positive X-axis
2
AIPMT 2011 Mains
+4
-1
Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2$$a$$. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is A
$${{3qQ} \over {4\pi {\varepsilon _0}a}}$$
B
$${{3qQ} \over {8\pi {\varepsilon _0}a}}$$
C
$${{qQ} \over {4\pi {\varepsilon _0}a}}$$
D
zero
3
AIPMT 2011 Prelims
+4
-1
A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is
A
$${1 \over 2}{\varepsilon _0}{E^2}$$
B
$${{{E^2}Ad} \over {{\varepsilon _0}}}$$
C
$${1 \over 2}{\varepsilon _0}{E^2}Ad$$
D
$${\varepsilon _0}EAd$$
4
AIPMT 2011 Prelims
+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 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
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