1
NEET 2016 Phase 2
+4
-1
An electric dipole is placed at an angle of 30o with an electric field intensity 2 $$\times$$ 105 N C$$-$$1. It experiences a torque equal to 4 N m. The charge on the dipole, if the dipole length is 2 cm, is
A
8 mC
B
2 mC
C
5 mC
D
7 $$\mu$$C
2
NEET 2016 Phase 1
+4
-1
Two identical charged spheres suspended from a common point by two massless strings of lengths $$l$$, are initially at a distance d(d < < $$l$$) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as
A
v $$\propto$$ x$$-$$1/2
B
v $$\propto$$ x$$-$$1
C
v $$\propto$$ x1/2
D
v $$\propto$$ x
3
AIPMT 2015
+4
-1
If potential (in volts) in a region is expressed as V(x, y, z) = 6xy $$-$$ y + 2yz, the electric field (in N/C) at point (1, 1, 0) is
A
$$- \left( {2\widehat i + 3\widehat j + \widehat k} \right)$$
B
$$- \left( {6\widehat i + 9\widehat j + \widehat k} \right)$$
C
$$- \left( {3\widehat i + 5\widehat j + 3\widehat k} \right)$$
D
$$- \left( {6\widehat i + 5\widehat j + 2\widehat k} \right)$$
4
AIPMT 2015 Cancelled Paper
+4
-1
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
$$A{\varepsilon _0}{a^2}$$
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