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1
JEE Main 2021 (Online) 16th March Evening Shift
+4
-1
The magnetic field in a region is given by $$\overrightarrow B = {B_o}\left( {{x \over a}} \right)\widehat k$$. A square loop of side d is placed with its edges along the x and y axes. The loop is moved with a constant velocity $$\overrightarrow v$$ = v0$$\widehat i$$. The emf induced in the loop is :

A
$${{{B_o}{v_o}{d^2}} \over {2a}}$$
B
$${{{B_o}v_o^2d} \over {2a}}$$
C
$${{{B_o}{v_o}d} \over {2a}}$$
D
$${{{B_o}{v_o}{d^2}} \over a}$$
2
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular point in space and time,
$$\overrightarrow B$$ = 8.0 $$\times$$ 10$$-$$8 $$\widehat z$$T. The value of electric field at this point is :

(speed of light = 3 $$\times$$ 108 ms$$-$$1)

$$\widehat x$$, $$\widehat y$$, $$\widehat z$$ are unit vectors along x, y and z directions.
A
2.6 $$\widehat x$$ V/m
B
$$-$$24 $$\widehat x$$ V/m
C
24 $$\widehat x$$ V/m
D
$$-$$2.6 $$\widehat y$$ V/m
3
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
A bar manet of length 14 cm is placed in the magnetic meridian with its north pole pointing towards the geographic north pole. A neutral point is obtained at a distance of 18 cm from the center of the magnet. If BH = 0.4 G, the magnetic moment of the magnet is (1G = 10$$-$$4 T)
A
2.880 $$\times$$ 102 J T$$-$$1
B
2.880 J T$$-$$1
C
2.880 $$\times$$ 103 J T$$-$$1
D
28.80 J T$$-$$1
4
JEE Main 2021 (Online) 16th March Morning Shift
Ue $$\ne$$ Um