1
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
A particle of mass m and charge q is in an electric and magnetic field given by
$$\overrightarrow E = 2\widehat i + 3\widehat j;\,\,\,\overrightarrow B = 4\widehat j + 6\widehat k.$$

The charged particle is shifted from he origin to the point P(x = 1; y = 1) along a straight path. The magnitude of the total work done is :
A
(2.5) q
B
(0.35) q
C
(0.15) q
D
5 q
2
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of the path if a magnetic field 100 mT is then applied. [Charge of the electron = 1.6 $$\times$$ 10–19 C Mass of the electron = 9.1 $$\times$$ 10–31 kg]
A
7.5 $$\times$$ 10$$-$$4 m
B
7.5 $$\times$$ 10$$-$$3 m
C
7.5 m
D
7.5 $$\times$$ 10$$-$$2 m
3
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their magnetic moment parallel to their respective axes. But the magnetic moment of hoop is twice of solid cylinder. They are placed in a uniform magnetic field in such a manner that their magnetic moments make a small angle with the field. If the oscillation periods of hoop and cylinder are Th and Tc respectively, then -
A
Th = 1.5 Tc
B
Th = Tc
C
Th = 2Tc
D
Th = 0.5 Tc
4
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
An insulating thin rod of length $$l$$ has a linear charge density $$\rho \left( x \right)$$ = $${\rho _0}{x \over l}$$ on it. The rod is rotated about an axis passing through the origin (x = 0) and perpendicular to the rod. If the rod makes n rotations per second, then the time averaged magnetic moment of the rod is -
A
$${\pi \over 3}n\rho {l^3}$$
B
$${\pi \over 4}n\rho {l^3}$$
C
$$n\rho {l^3}$$
D
$$\pi n\rho {l^3}$$
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