1
MHT CET (PCB) 2025 9th 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 of the coil is $x$ times $\left(2 B / \mu_0\right)$. The value of $x$ is ( $\mu_0=$ permeability of free space)

A

$\left(\frac{\mathrm{A}}{\pi^2}\right)^{\frac{1}{3}}$

B

$\left(\frac{\pi^3}{A^3}\right)^{\frac{1}{2}}$

C

$\left(\frac{\pi^2}{\mathrm{~A}^2}\right)^{\frac{1}{3}}$

D

$\left(\frac{A^3}{\pi}\right)^{\frac{1}{2}}$

2
MHT CET (PCB) 2025 9th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A capacitor of capacitance ' C ' is connected across a.c. source of voltage V as $\mathrm{V}=\mathrm{V}_0 \sin \omega \mathrm{t}$. The displacement current between the plates of the capacitor would be

A

$V_0 \omega C \cos \omega t$

B

$\frac{V_0}{\omega C} \sin \omega t$

C

$\frac{V_0}{\omega C} \cos \omega t$

D

$\mathrm{V}_0 \omega \mathrm{C} \sin \omega \mathrm{t}$

3
MHT CET (PCB) 2025 9th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

The series limit for the frequency of Balmer series is ' $\mathrm{v}_{\mathrm{B}}$ ', then the series limit frequency of Paschen series ' $v_p$ ' is

A

$\quad \frac{2}{9} \mathrm{v}_{\mathrm{B}}$

B

$\quad \frac{9}{4} \mathrm{v}_{\mathrm{B}}$

C

$\frac{4}{9} \mathrm{v}_{\mathrm{B}}$

D

$\frac{2}{3} \mathrm{~V}_{\mathrm{B}}$

4
MHT CET (PCB) 2025 9th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

In Young's double slit experiment, the intensities at two points, for the path difference $\frac{\lambda}{4}$ and $\frac{\lambda}{3}$ are $\mathrm{I}_1$ and $\mathrm{I}_2$ respectively. If $\mathrm{I}_0$ denotes the intensity produced by each one of the individual slits then the ratio $\left(\mathrm{I}_1+\mathrm{I}_2\right): \mathrm{I}_0$ is $\left(\cos 45^{\circ}=1 / \sqrt{2}\right)\left(\cos 60^{\circ}=0.5\right)$

A

2

B

3

C

4

D

1