1
MHT CET 2023 11th May Evening Shift
+1
-0

The self inductance '$$L$$' of a solenoid of length '$$l$$' and area of cross-section '$$\mathrm{A}$$', with a fixed number of turns '$$\mathrm{N}$$' increases as

A
both $$l$$ and $$A$$ increase
B
$$l$$ decreases and $$\mathrm{A}$$ increases
C
$$l$$ increases and A decreases
D
both $$l$$ and A decrease
2
MHT CET 2023 11th May Evening Shift
+1
-0

A coil having effective area '$$A$$' is held with its plane normal to a magnitude field of induction '$$\mathrm{B}$$'. The magnetic induction is quickly reduced to $$25 \%$$ of its initial value in 1 second. The e.m.f. induced in the coil (in volt) will be

A
$$\frac{\mathrm{BA}}{4}$$
B
$$\frac{\mathrm{BA}}{2}$$
C
$$\frac{3 \mathrm{BA}}{8}$$
D
$$\frac{3 \mathrm{BA}}{4}$$
3
MHT CET 2023 11th May Morning Shift
+1
-0

A coil of radius '$$r$$' is placed on another coil (whose radius is $$\mathrm{R}$$ and current flowing through it is changing) so that their centres coincide $$(\mathrm{R} \gg \mathrm{r})$$. If both the coils are coplanar then the mutual inductance between them is ( $$\mu_0=$$ permeability of free space)

A
$$\frac{\mu_0 \pi \mathrm{R}^2}{2 \mathrm{r}}$$
B
$$\frac{\mu_0 \pi r^2}{2 R}$$
C
$$\frac{\mu_0 \pi r^2}{R}$$
D
$$\mu_0 \pi R^2$$
4
MHT CET 2023 11th May Morning Shift
+1
-0

When a current of $$1 \mathrm{~A}$$ is passed through a coil of 100 turns, the flux associated with it is $$2.5 \times 10^{-5} \mathrm{~Wb} /$$ turn. The self inductance of the coil in millihenry is

A
40
B
25
C
4
D
2.5
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