1
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is $$6: 5$$ and their respective masses ratio is $$9: 4$$. Then, the ratio of their charges will be :

A
8 : 5
B
5 : 4
C
5 : 3
D
8 : 7
2
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

A coil of n number of turns wound tightly in the form of a spiral with inner and outer radii r1 and r2 respectively. When a current of strength I is passed through the coil, the magnetic field at its centre will be :

A
$${{{\mu _0}nI} \over {2({r_2} - {r_1})}}$$
B
$${{{\mu _0}nI} \over {{r_2}}}$$
C
$${{{\mu _0}nI} \over {{r_2} - {r_1}}}{\log _e}{{{r_1}} \over {{r_2}}}$$
D
$${{{\mu _0}nI} \over {2({r_2} - {r_1})}}{\log _e}{{{r_2}} \over {{r_1}}}$$
3
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

A cyclotron is working at a frequency of 10 MHz. If the radius of its dees is 60 cm. The maximum kinetic energy of accelerated proton will be :

(Take : e = 1.6 $$\times$$ 10$$-$$19 C, mp = 1.67 $$\times$$ 10$$-$$27 kg)

A
7.4 MeV
B
14.86 MeV
C
7.4 GeV
D
704 GeV
4
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1

Two long current carrying conductors are placed to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300 $$\mu$$T. The equal current flowing in the two conductors is :

A
30A in the same direction.
B
30A in the opposite direction.
C
60A in the opposite direction.
D
300A in the opposite direction.
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