1
MHT CET 2025 23rd April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A square coil ABCD of side ' L ' is carrying a current in clockwise direction. A straight conductor carrying current $\mathrm{I}_2$ (upward direction) is kept parallel to side AB at a distance $\frac{\mathrm{L}}{3}$ in the plane of $A B C D$. The net force on the coil ABCD is ( $\mu_0=$ magnetic permeability)

A
$\frac{\mu_0 \mathrm{I}_1 \mathrm{I}_2}{3 \pi}$
B
$\frac{3 \mu_0 \mathrm{I}_1 \mathrm{I}_2}{4 \pi}$
C
$\frac{3 \mu_0 \mathrm{I}_1 \mathrm{I}_2}{8 \pi}$
D
$\frac{9 \mu_0 \mathrm{I}_1 \mathrm{I}_2}{8 \pi}$
2
MHT CET 2025 23rd April Morning Shift
MCQ (Single Correct Answer)
+1
-0

The magnetic field at the centre of a current carrying circular coil of area ' $A$ ' is ' $B$ '. The magnetic moment ( M ) of the coil is ( $\mu_0=$ permeability of free space)

A
$\frac{\mathrm{BA}^2}{\mu_0 \pi}$
B
$\frac{2 B A^{3 / 2}}{\mu_0 \sqrt{\pi}}$
C
$\frac{B A^{3 / 2}}{\mu_0 \pi}$
D
$\frac{\mu_0 \sqrt{\pi}}{\mathrm{BA}^{3 / 2}}$
3
MHT CET 2025 23rd April Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let the current ' $I$ ' be associated with an electron of charge ' $e$ ' moving in a circular orbit of radius ' $r$ ' with speed ' $v$ ' around the positively charged nucleus. The ratio $\frac{r}{v}$ is

A
$\frac{\mathrm{eI}}{2 \pi}$
B
$\frac{2 \pi}{\mathrm{eI}}$
C
$\frac{\mathrm{e}}{2 \pi \mathrm{I}}$
D
$\frac{2 e \mathrm{I}}{\pi}$
4
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle of charge $q$ moves with a velocity $\overrightarrow{\mathrm{V}}=a \hat{\mathrm{i}}$ in a magnetic field $\overrightarrow{\mathrm{B}}=b \hat{\mathrm{j}}+c \hat{\mathrm{k}}$, where ' $a$ ', ' b ' and ' c ' are constants. The magnitude of force experienced by particle is

A
$q a \sqrt{b^2+c^2}$
B
$\mathrm{qa}(\mathrm{b}+\mathrm{c})$
C
$q a \sqrt{b^2-c^2}$
D
zero
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