1
AIPMT 2007
+4
-1
A hollow cylinder has a charge q coulomb within it. If $$f$$ is the electric flux in units of voltmeter associated with the curved surface B, the flux linked with the plane surface A in units of V-m will be

A
$${q \over {2{\varepsilon _0}}}$$
B
$${\phi \over 3}$$
C
$${q \over {{\varepsilon _0}}} - \phi$$
D
$${1 \over 2}\left( {{q \over {{\varepsilon _0}}} - \phi } \right)$$
2
AIPMT 2007
+4
-1
Charges +q and $$-$$q are placed at points A and B respectively which are a distance 2L apart, C is the midnight between A and B. The work done in moving a charge + Q along the semicircle CRD is

A
$${{qQ} \over {2\pi {\varepsilon _0}L}}$$
B
$${{qQ} \over {6\pi {\varepsilon _0}L}}$$
C
$$-$$ $${{qQ} \over {6\pi {\varepsilon _0}L}}$$
D
$${{qQ} \over {4\pi {\varepsilon _0}L}}$$
3
AIPMT 2007
+4
-1
Three point charges +q, $$-$$ 2q and + q are placed at points (x = 0, y = a, z = 0), (x = 0, y = 0, z = 0) and (x = $$a$$, y = 0, z = 0) respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are
A
$$\sqrt 2 qa$$ along the line joining points (x = 0, y = 0, z = 0) and (x = $$a$$, y = a, z = 0)
B
q$$a$$ along the line joining points (x = 0, y = 0, z = 0) and (x = $$a$$, y = a, z = 0)
C
$$\sqrt 2 qa$$ along +x direction
D
$$\sqrt 2 qa$$ along +y direction.
4
AIPMT 2006
+4
-1
A square surface of side L metres is in the plane of the paper. A uniform electric field $$\overrightarrow E$$ (volt/m), also in the plane of the paper is limited only to the lower half of the square surface (see figure). The electric flux in SI inits associated with the surface is

A
EL2
B
EL2/2$$\varepsilon$$0
C
EL2/2
D
zero
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