1
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1 Match List I with List II

List I
(Current configuration)
List II
(Magnitude of Magnetic Field at point O)
A. I. $${B_0} = {{{\mu _0}I} \over {4\pi r}}[\pi + 2]$$
B. II. $${B_0} = {{{\mu _0}} \over {4 }}{I \over r}$$
C. III. $${B_0} = {{{\mu _0}I} \over {2\pi r}}[\pi - 1]$$
D. IV. $${B_0} = {{{\mu _0}I} \over {4\pi r}}[\pi + 1]$$

Choose the correct answer from the options given below :

A
A-III, B-IV, C-I, D-II
B
A-II, B-I, C-IV, D-III
C
A-III, B-I, C-IV, D-II
D
A-I, B-III, C-IV, D-II
2
JEE Main 2023 (Online) 24th January Evening Shift
+4
-1 A long solenoid is formed by winding 70 turns cm$$^{-1}$$. If 2.0 A current flows, then the magnetic field produced inside the solenoid is ____________ ($$\mu_0=4\pi\times10^{-7}$$ TmA$$^{-1}$$)

A
$$88\times10^{-4}$$ T
B
$$1232\times10^{-4}$$ T
C
$$176\times10^{-4}$$ T
D
$$352\times10^{-4}$$ T
3
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1 Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5 cm distance. Magnitude of magnetic force experienced by 10 cm length of wire P is F$$_1$$. If distance between wires is halved and currents on them are doubled, force F$$_2$$ on 10 cm length of wire P will be:

A
$$\frac{F_1}{8}$$
B
10 F$$_1$$
C
$$\frac{F_1}{10}$$
D
8 F$$_1$$
4
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1 A circular loop of radius $$r$$ is carrying current I A. The ratio of magnetic field at the center of circular loop and at a distance r from the center of the loop on its axis is :

A
3$$\sqrt2$$ : 2
B
1 : 3$$\sqrt2$$
C
2$$\sqrt2$$ : 1
D
1 : $$\sqrt2$$
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