1
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$$_1$$
2
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 : $$\sqrt2$$
3
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 $$\mathrm{X}$$.
4
JEE Main 2022 (Online) 29th July Evening Shift
+4
-1 The vertical component of the earth's magnetic field is $$6 \times 10^{-5} \mathrm{~T}$$ at any place where the angle of dip is $$37^{\circ}$$. The earth's resultant magnetic field at that place will be $$\left(\right.$$Given $$\left.\tan 37^{\circ}=\frac{3}{4}\right)$$

A
$$8 \times 10^{-5} \mathrm{~T}$$
B
$$6 \times 10^{-5} \mathrm{~T}$$
C
$$5 \times 10^{-4} \mathrm{~T}$$
D
$$1 \times 10^{-4} \mathrm{~T}$$
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