1
MHT CET 2023 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Inductance per unit length near the middle of a long solenoid is $$\left(\mu_0=\right.$$ permeability of free space, $$\mathrm{n}=$$ number of turns per unit length, $$\mathrm{d}=$$ the diameter of the solenoid)

A
$$\mu_0 \pi\left(\frac{\mathrm{nd}}{2}\right)^2$$
B
$$4 \mu_0 \pi\left(\frac{\mathrm{nd}}{2}\right)$$
C
$$\left(\frac{\mu_0 \pi n d}{2}\right)$$
D
$$\frac{4 \mu_0 \pi}{\mathrm{n}^2 \mathrm{~d}^2}$$
2
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two inductors of $$60 \mathrm{~mH}$$ each are joined in parallel. The current passing through this combination is $$2.2 \mathrm{~A}$$. The energy stored in this combination of inductors in joule is

A
0.0333
B
0.0667
C
0.0726
D
0.0984
3
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two coils have a mutual inductance of $$0.004 \mathrm{~H}$$. The current changes in the first coil according to equation $$\mathrm{I}=\mathrm{I}_0 \sin \omega \mathrm{t}$$, where $$\mathrm{I}_0=10 \mathrm{~A}$$ and $$\omega=50 ~\pi \mathrm{~rad} ~\mathrm{s}^{-1}$$. The maximum value of e.m.f. in the second coil in volt is

A
$$5 \pi$$
B
$$4 \pi$$
C
$$2.5 \pi$$
D
$$2 \pi$$
4
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The magnetic flux through a circuit of resistance '$$R$$' changes by an amount $$\Delta \phi$$ in the time $$\Delta t$$. The total quantity of electric charge '$$Q$$' which passes during this time through any point of the circuit is

A
$$-\frac{\Delta \phi}{\Delta t}+R$$
B
$$\frac{\Delta \phi}{\mathrm{R}}$$
C
$$\frac{\Delta \phi}{\Delta t}$$
D
$$\frac{\Delta \phi}{\Delta t} \times R$$
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