1
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
2
AIPMT 2011 Mains
+4
-1
In the circuit shown in the figure, if the potential at point A is taken to be zero, the potential at point B is

A
+1 V
B
$$-$$1 V
C
+2 V
D
$$-$$2 V
3
AIPMT 2011 Mains
+4
-1
A galvanometer of resistance, G, is shunted by a resistance S ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is
A
$${G \over {(S + G)}}$$
B
$${{{S^2}} \over {\left( {S + G} \right)}}$$
C
$$\left( {{{SG} \over {S + G}}} \right)$$
D
$${{{G^2}} \over {(S + G)}}$$
4
AIPMT 2011 Mains
+4
-1
Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency $$f$$ Hz. The magnitude of magnetic induction at the center of the ring is
A
$${{{\mu _0}qf} \over {2\pi R}}$$
B
$${{{\mu _0}qf} \over {2R}}$$
C
$${{{\mu _0}q} \over {2fR}}$$
D
$${{{\mu _0}q} \over {2\pi fR}}$$
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