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

In a common emitter transistor amplifier circuit, the current gain $\alpha=0.8$. If the base current changes by $3 \mu \mathrm{~A}$ then the collector current changes by

A
$4 \mu \mathrm{~A}$
B
$12 \mu \mathrm{~A}$
C
$6 \mu \mathrm{~A}$
D
$24 \mu \mathrm{~A}$
3
MHT CET 2025 23rd April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A ray of light is incident on first face of an equilateral glass prism at an angle of incidence ' $I$ '. The emergent ray just grazes along the adjacent face. The refractive index of the the prism is $\sqrt{2}$. The value of angle of incidence at first face is $\left(\sin 45^{\circ}=\frac{1}{\sqrt{2}}, \sin 90^{\circ}=1\right)$

A
$\quad \sin ^{-1}\left(\sqrt{2} \sin 15^{\circ}\right)$
B
$\sin ^{-1}\left(\frac{\sin 30^{\circ}}{\sqrt{2}}\right)$
C
$\quad \cos ^{-1}\left(\sqrt{2} \sin 20^{\circ}\right)$
D
$\tan ^{-1} \sqrt{2 \sin 15^{\circ}}$
4
MHT CET 2025 23rd April Morning Shift
MCQ (Single Correct Answer)
+1
-0

In hydrogen atom, the energy of electron in first and third orbit is ' $E_1$ ' and' $E_3$ ' respectively. If $E_3=x E_1$ then the value of $x$ will be

A
$\frac{1}{9}$
B
$\frac{1}{64}$
C
$\frac{1}{27}$
D
$\frac{1}{8}$
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