1
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
A proton and an $$\alpha$$-particle (with their masses in the ratio of 1 : 4 and charges in the ratio of 1 : 2) are accelerated from rest through a potential difference V. If a uniform magnetic field (B) is set up perpendicular to their velocities, the ratio of the radii rp : r$$\alpha$$ of the circular paths described by them will be ;
A
$$1:\sqrt 3$$
B
1 : 3
C
$$1:\sqrt 2$$
D
1 : 2
2
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
The region between y = 0 and y = d contains a magnetic field $$\overrightarrow B = B\widehat z$$. A particle of mass m and charge q enters the region with a velocity $$\overrightarrow v = v\widehat i.$$ If d $$=$$ $${{mv} \over {2qB}},$$ the acceleration of the charged particle at the point of its emergence at the other side is :
A
$${{qvB} \over m}\left( -{{{\sqrt 3 } \over 2}\widehat i - {1 \over 2}\widehat j} \right)$$
B
$${{qvB} \over m}\left( {{1 \over 2}\widehat i - {{\sqrt 3 } \over 2}\widehat j} \right)$$
C
$${{qvB} \over m}\left( {{{ - \widehat j + \widehat i} \over {\sqrt 2 }}} \right)$$
D
$${{qvB} \over m}\left( {{{\widehat j + \widehat i} \over {\sqrt 2 }}} \right)$$
3
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
4
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
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