1
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two conducting circular loops of radii '$$R_1$$' and '$$R_2$$' are placed in the same plane with their centres coinciding. If $$R_1>R_2$$, the mutual inductance $$M$$ between them will be directly proportional to

A
$$\frac{R_1}{R_2}$$
B
$$\frac{R_2}{R_1}$$
C
$$\frac{R_1^2}{R_2}$$
D
$$\frac{R_2^2}{R_1}$$
2
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If current '$$I$$' is flowing in the closed circuit with collective resistance '$$R$$', the rate of production of heat energy in the loop as we pull it along with a constant speed '$$\mathrm{V}$$' is ( $$\mathrm{L}=$$ length of conductor, $$\mathrm{B}=$$ magnetic field)

A
$$\frac{\mathrm{BLV}}{\mathrm{R}}$$
B
$$\frac{\mathrm{B}^2 \mathrm{~L}^2 \mathrm{~V}^2}{\mathrm{R}^2}$$
C
$$\frac{B L V}{R^2}$$
D
$$\frac{\mathrm{B}^2 \mathrm{~L}^2 \mathrm{~V}^2}{\mathrm{R}}$$
3
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two coils $$\mathrm{A}$$ and $$\mathrm{B}$$ have mutual inductance 0.008 $$\mathrm{H}$$. The current changes in the coil A, according to the equation $$\mathrm{I}=\mathrm{I}_{\mathrm{m}} \sin \omega \mathrm{t}$$, where $$\mathrm{I}_{\mathrm{m}}=5 \mathrm{~A}$$ and $$\omega=200 \pi ~\mathrm{rad} ~\mathrm{s}^{-1}$$. The maximum value of the e.m.f. induced in the coil $$B$$ in volt is

A
$$4 \pi$$
B
$$8 \pi$$
C
$$10 \pi$$
D
$$16 \pi$$
4
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The mutual inductance (M) of the two coils is $$3 ~\mathrm{H}$$. The self inductances of the coils are $$4 ~\mathrm{H}$$ and $$9 ~\mathrm{H}$$ respectively. The coefficient of coupling between the coils is

A
0.3
B
0.4
C
0.5
D
0.6
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