1
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
2
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$$_1$$
3
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 : $$\sqrt2$$
4
JEE Main 2022 (Online) 29th July Evening Shift
+4
-1

A wire X of length $$50 \mathrm{~cm}$$ carrying a current of $$2 \mathrm{~A}$$ is placed parallel to a long wire $$\mathrm{Y}$$ of length $$5 \mathrm{~m}$$. The wire $$\mathrm{Y}$$ carries a current of $$3 \mathrm{~A}$$. The distance between two wires is $$5 \mathrm{~cm}$$ and currents flow in the same direction. The force acting on the wire $$\mathrm{Y}$$ is

A
$$1.2 \times 10^{-5} \mathrm{~N}$$ directed towards wire $$\mathrm{X}$$.
B
$$1.2 \times 10^{-4} \mathrm{~N}$$ directed away from wire $$\mathrm{X}$$.
C
$$1.2 \times 10^{-4} \mathrm{~N}$$ directed towards wire $$\mathrm{X}$$.
D
$$2.4 \times 10^{-5} \mathrm{~N}$$ directed towards wire $$\mathrm{X}$$.
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