1
MHT CET (PCB) 2024 22th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A light metal disc of radius ' $r$ ' floats on water surface and bends the surface downwards along the perimeter making an angle ' $\theta$ ' with the vertical edge of the disc. If the weight of water displaced by the disc is ' W ', the weight of the metal disc is [ $\mathrm{T}=$ surface tension of water]

A
$\quad \mathrm{W}-2 \pi \mathrm{r} \mathrm{T} \cos \theta$
B
$2 \pi r \mathrm{~T}+\mathrm{W}$
C
$2 \pi \mathrm{r} \mathrm{T} \cos \theta+\mathrm{W}$
D
$2 \pi \mathrm{rT} \cos \theta-\mathrm{W}$
2
MHT CET (PCB) 2024 22th 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 ( $\mu_0=$. permeability of free space)

A
$\frac{2 B}{\mu_0} \sqrt{\frac{A^3}{\pi}}$
B
$\frac{\mathrm{BA}^2}{4 \mu_0 \pi}$
C
$\frac{2 \pi}{\mu_0} \sqrt{A^3}$
D
$\frac{\mu_0}{2 B} \sqrt{\frac{A^3}{\pi}}$
3
MHT CET (PCB) 2024 22th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A parallel combination of two capacitors of capacities ' C ' and ' $\frac{\mathrm{C}}{3}$, respectively is connected across a battery of 12 volt. When both capacitors are fully charged, the charge and energy stored in them is $Q_1, Q_2$ and $E_1, E_2$ respectively. Then the ratio of $\left(E_1-E_2\right)$ to $\left(Q_1-Q_2\right)$ is

A
$1: 8$
B
$1: 6$
C
$8: 1$
D
$6: 1$
4
MHT CET (PCB) 2024 22th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A transparent sphere of refractive index ' $\mu$ ' and radius of curvature ' $R$ ' is kept in air. A point object is placed at a distance ' d ' from the surface of the sphere so that the real image is formed at the same distance ' $d$ ' from exactly opposite side of the sphere. The distance ' $d$ ' is

A
$\frac{\mu}{R}$
B
$\mathrm{R}(\mu-1)$
C
$\frac{\mathrm{R}}{(\mu-1)}$
D
$\frac{\mathrm{R}}{(\mu+1)}$
EXAM MAP