1
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
A long, straight wire of radius a carries a current distributed uniformly over its cross-section. The ratio of the magnetic fields due to the wire at distance $${a \over 3}$$ and 2$$a$$, respectively from the axis of the wire is :
A
2
B
$${1 \over 2}$$
C
$${3 \over 2}$$
D
$${2 \over 3}$$
2
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
A charged particle of mass 'm' and charge 'q' moving under the influence of uniform electric field $$E\overrightarrow i$$ and a uniform magnetic field $$B\overrightarrow k$$ follows a trajectory from point P to Q as shown in figure. The velocities at P and Q are respectively, $$v\overrightarrow i$$ and $$- 2v\overrightarrow j$$ . Then which of the following statements (A, B, C, D) are the correct ?
(Trajectory shown is schematic and not to scale) :
(A) E = $${3 \over 4}\left( {{{m{v^2}} \over {qa}}} \right)$$

(B) Rate of work done by the electric field at P is $${3 \over 4}\left( {{{m{v^3}} \over a}} \right)$$

(C) Rate of work done by both the fields at Q is zero

(D) The difference between the magnitude of angular momentum of the particle at P and Q is 2mav.
A
(A), (B), (C), (D)
B
(A), (B), (C)
C
(A), (C), (D)
D
(B), (C), (D)
3
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
A very long wire ABDMNDC is shown in figure carrying current I. AB and BC parts are straight, long and at right angle. At D wire forms a circular turn DMND of radius R. AB, BC parts are tangential to circular turn at N and D. Magnetic field at the centre of circle is :
A
$${{{\mu _0}I} \over {2\pi R}}\left( {\pi + 1} \right)$$
B
$${{{\mu _0}I} \over {2\pi R}}\left( {\pi - {1 \over {\sqrt 2 }}} \right)$$
C
$${{{\mu _0}I} \over {2R}}$$
D
$${{{\mu _0}I} \over {2\pi R}}\left( {\pi + {1 \over {\sqrt 2 }}} \right)$$
4
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
Photon with kinetic energy of 1MeV moves from south to north. It gets an acceleration of 1012 m/s2 by an applied magnetic field (west to east). The value of magnetic field : (Rest mass of proton is 1.6 × 10–27 kg) :
A
0.71mT
B
7.1mT
C
0.071mT
D
71mT
EXAM MAP
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