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

If $|\vec{A} \times \vec{B}|=\sqrt{3}(\vec{A} \cdot \vec{B})$ then the value of $|\vec{A}+\vec{B}|$ is $\left(\tan 60^{\circ}=\sqrt{3}, \cos 60^{\circ}=0.5\right)$

A

$\left(A^2+B^2+\frac{A B}{\sqrt{3}}\right)^{\frac{1}{2}}$

B

$\left(A^2+B^2+A B\right)^{\frac{1}{2}}$

C

$\left(A^2+B^2+\sqrt{3} A B\right)^{\frac{1}{2}}$

D

$\mathrm{A}+\mathrm{B}$

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

In an interference experiment, the phase difference between the waves reaching a first dark point is

A

zero

B

$\pi^{\mathrm{c}}$

C

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

D

$(2 \pi)^c$

3
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

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

4
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

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