1
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uniformly distributed across this cross-section. Then the variation of magnetic field due to current I with distance r (r < R) from its centre will be :

A
B $$\propto$$ r2
B
B $$\propto$$ r
C
B $$\propto$$ $${1 \over {{r^2}}}$$
D
B $$\propto$$ $${1 \over {{r}}}$$
2
JEE Main 2022 (Online) 24th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A proton, a deutron and an $$\alpha$$-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is :

A
1 : $$\sqrt 2 $$ : $$\sqrt 2 $$
B
1 : 1 : $$\sqrt 2 $$
C
$$\sqrt 2 $$ : 1 : 1
D
1 : $$\sqrt 2 $$ : 1
3
JEE Main 2022 (Online) 24th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : In an uniform magnetic field, speed and energy remains the same for a moving charged particle.

Reason (R) : Moving charged particle experiences magnetic force perpendicular to its direction of motion.

A
Both (A) and (R) are true and (R) is the correct explanation of (A).
B
Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
C
(A) is true but (R) is false.
D
(A) is false but (R) is true.
4
JEE Main 2022 (Online) 24th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it, is B. The magnetic field at a point along the axis at a distance $${r \over 2}$$ from the centre is :

A
B/2
B
2B
C
$${\left( {{2 \over {\sqrt 5 }}} \right)^3}B$$
D
$${\left( {{2 \over {\sqrt 3}}} \right)^3}B$$
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