1
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
A square loop of side 20 cm and resistance 1$$\Omega$$ is moved towards right with a constant speed v0. The right arm of the loop is in a uniform magnetic field of 5T. The field is perpendicular to the plane of the loop and is going into it. The loop is connected to a network of resistors each of value 4$$\Omega$$. What should be the value of v0 so that a steady current of 2 mA flows in the loop?

A
1 m/s
B
1 cm/s
C
102 m/s
D
10$$-$$2 cm/s
2
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
Following plots show magnetization (M) vs magnetizing field (H) and magnetic susceptibility ($$\chi$$) vs temperature (T) graph :

Which of the following combination will be represented by a diamagnetic material?
A
(a), (c)
B
(a), (d)
C
(b), (d)
D
(b), (c)
3
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by
E = 20cos(2 $$\times$$ 1010 t $$-$$ 200x) V/m. The dielectric constant of the medium is equal to : (Take $$\mu$$r = 1)
A
9
B
2
C
$${1 \over 3}$$
D
3
4
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
There are two infinitely long straight current carrying conductors and they are held at right angles to each other so that their common ends meet at the origin as shown in the figure given below. The ratio of current in both conductor is 1 : 1. The magnetic field at point P is ____________.

A
$${{{\mu _0}I} \over {4\pi xy}}\left[ {\sqrt {{x^2} + {y^2}} + (x + y)} \right]$$
B
$${{{\mu _0}I} \over {4\pi xy}}\left[ {\sqrt {{x^2} + {y^2}} - (x + y)} \right]$$
C
$${{{\mu _0}Ixy} \over {4\pi }}\left[ {\sqrt {{x^2} + {y^2}} - (x + y)} \right]$$
D
$${{{\mu _0}Ixy} \over {4\pi }}\left[ {\sqrt {{x^2} + {y^2}} + (x + y)} \right]$$
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