1
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1 Two bar magnets oscillate in a horizontal plane in earth's magnetic field with time periods of $$3 \mathrm{~s}$$ and $$4 \mathrm{~s}$$ respectively. If their moments of inertia are in the ratio of $$3: 2$$, then the ratio of their magnetic moments will be:

A
2 : 1
B
8 : 3
C
1 : 3
D
27 : 16
2
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1 A magnet hung at $$45^{\circ}$$ with magnetic meridian makes an angle of $$60^{\circ}$$ with the horizontal. The actual value of the angle of dip is -

A
$$\tan ^{-1}\left(\sqrt{\frac{3}{2}}\right)$$
B
$$\tan ^{-1}(\sqrt{6})$$
C
$$\tan ^{-1}\left(\sqrt{\frac{2}{3}}\right)$$
D
$$\tan ^{-1}\left(\sqrt{\frac{1}{2}}\right)$$
3
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1 A beam of light travelling along $$X$$-axis is described by the electric field $$E_{y}=900 \sin \omega(\mathrm{t}-x / c)$$. The ratio of electric force to magnetic force on a charge $$\mathrm{q}$$ moving along $$Y$$-axis with a speed of $$3 \times 10^{7} \mathrm{~ms}^{-1}$$ will be :

(Given speed of light $$=3 \times 10^{8} \mathrm{~ms}^{-1}$$)

A
1 : 1
B
1 : 10
C
10 : 1
D
1 : 2
4
JEE Main 2022 (Online) 26th July Evening Shift
+4
-1 Two concentric circular loops of radii $$r_{1}=30 \mathrm{~cm}$$ and $$r_{2}=50 \mathrm{~cm}$$ are placed in $$\mathrm{X}-\mathrm{Y}$$ plane as shown in the figure. A current $$I=7 \mathrm{~A}$$ is flowing through them in the direction as shown in figure. The net magnetic moment of this system of two circular loops is approximately : A
$$\frac{7}{2} \hat{k} \,\mathrm{Am}^{2}$$
B
$$-\frac{7}{2} \hat{k} \,\mathrm{Am}^{2}$$
C
$${7}\, \hat{k} \,\mathrm{Am}^{2}$$
D
$${-7}\, \hat{k} \,\mathrm{Am}^{2}$$
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