1
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
Four closed surfaces and corresponding charge distributions are shown below.

Let the respective electric fluxes through the surfaces be $${\Phi _1},$$ $${\Phi _2},$$ $${\Phi _3}$$ and $${\Phi _4}$$. Then :
A
$${\Phi _1}$$ < $${\Phi _2}$$ = $${\Phi _3}$$ > $${\Phi _4}$$
B
$${\Phi _1}$$ > $${\Phi _2}$$ > $${\Phi _3}$$ > $${\Phi _4}$$
C
$${\Phi _1}$$ = $${\Phi _2}$$ = $${\Phi _3}$$ = $${\Phi _4}$$
D
$${\Phi _1}$$ > $${\Phi _3}$$ ; $${\Phi _2}$$ < $${\Phi _4}$$
2
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at $$P,$$ in the region, is found to vary between the limits 589.0 V to 589.8 V. What is the potential at a point on the sphere whose radius vector makes an angle of 60o with the direction of the field ?
A
589.5 V
B
589.2 V
C
589.4 V
D
589.6 V
3
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 $$\mu$$C charge, its radius will be :
[ Take : $${1 \over {4\,\pi { \in _0}}} =$$ 9 $$\times$$ 109 N $$-$$ m2/C2 ]
A
20 mm
B
32 mm
C
28 mm
D
16 mm
4
JEE Main 2017 (Offline)
+4
-1
An electric dipole has a fixed dipole moment $$\overrightarrow p$$, which makes angle $$\theta$$ with respect to x-axis. When subjected to an electric field $$\mathop {{E_1}}\limits^ \to = E\widehat i$$ , it experiences a torque $$\overrightarrow {{T_1}} = \tau \widehat k$$ . When subjected to another electric field $$\mathop {{E_2}}\limits^ \to = \sqrt 3 {E_1}\widehat j$$ it experiences a torque $$\mathop {{T_2}}\limits^ \to = \mathop { - {T_1}}\limits^ \to$$ . The angle $$\theta$$ is:
A
90o
B
45o
C
30o
D
60o
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