1
JEE Main 2023 (Online) 31st January Morning Shift
+4
-1

Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following

{Assume negligible air friction}

A
Metal ball will reach the earth's surface earlier than the insulating ball
B
Both will reach the earth's surface simultaneously.
C
Insulating ball will reach the earth's surface earlier than the metal ball
D
Time taken by them to reach the earth's surface will be independent of the properties of their materials
2
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1

A square loop of area 25 cm$$^2$$ has a resistance of 10 $$\Omega$$. The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in 1.0 sec, will be

A
$$\mathrm{1.0\times10^{-3}~J}$$
B
$$\mathrm{5\times10^{-3}~J}$$
C
$$\mathrm{2.5\times10^{-3}~J}$$
D
$$\mathrm{1.0\times10^{-4}~J}$$
3
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

Find the mutual inductance in the arrangement, when a small circular loop of wire of radius '$$R$$' is placed inside a large square loop of wire of side $$L$$ $$(L \gg R)$$. The loops are coplanar and their centres coincide :

A
$$M=\frac{\sqrt{2} \mu_{0} R}{L^{2}}$$
B
$$M=\frac{2 \sqrt{2} \mu_{0} R}{L^{2}}$$
C
$$M=\frac{2 \sqrt{2} \mu_{0} R^{2}}{L}$$
D
$$M=\frac{\sqrt{2} \mu_{0} R^{2}}{L}$$
4
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1

A wire of length 1m moving with velocity 8 m/s at right angles to a magnetic field of 2T. The magnitude of induced emf, between the ends of wire will be __________.

A
20 V
B
8 V
C
16 V
D
12 V
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