1
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1

A charge particle is moving in a uniform magnetic field $$(2 \hat{i}+3 \hat{j}) \,\mathrm{T}$$. If it has an acceleration of $$(\alpha \hat{i}-4 \hat{j})\, \mathrm{m} / \mathrm{s}^{2}$$, then the value of $$\alpha$$ will be :

A
3
B
6
C
12
D
2
2
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1

$$\mathrm{B}_{X}$$ and $$\mathrm{B}_{\mathrm{Y}}$$ are the magnetic fields at the centre of two coils $$\mathrm{X}$$ and $$\mathrm{Y}$$ respectively each carrying equal current. If coil $$X$$ has 200 turns and $$20 \mathrm{~cm}$$ radius and coil $$Y$$ has 400 turns and $$20 \mathrm{~cm}$$ radius, the ratio of $$B_{X}$$ and $$B_{Y}$$ is :

A
1 : 1
B
1 : 2
C
2 : 1
D
4 : 1
3
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
4
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
$${{{\mu _0}nI} \over {2({r_2} - {r_1})}}{\log _e}{{{r_2}} \over {{r_1}}}$$
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