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

A hollow charged metal sphere has a radius ' $r$ '. If the potential difference between its surface and a point at a distance ' 3 r ' from the centre is ' $v$ ', then the electric field intensity at a distance ' $3 r$ ' is

A
$\frac{\mathrm{V}}{2 \mathrm{r}}$
B
$\frac{\mathrm{v}}{3 \mathrm{r}}$
C
$\frac{v}{6 r}$
D
$\frac{\mathrm{v}}{4 \mathrm{r}}$
2
MHT CET (PCB) 2024 22th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

For a given medium, the speed of light and the polarising angle are ' $v$ ' and ' $i_p$ ' respectively, then ( $\mathrm{c}=$ speed of light in vaccum )

A
$\quad v \sin \left(\mathrm{i}_{\mathrm{p}}\right)=c \cos \left(\mathrm{i}_{\mathrm{p}}\right)$
B
$\quad \mathrm{c}=\mathrm{v} \cot \left(\mathrm{i}_{\mathrm{p}}\right)$
C
$\quad v \cos \left(\mathrm{i}_{\mathrm{p}}\right)=c \sin \left(\mathrm{i}_{\mathrm{p}}\right)$
D
$\quad v=c \cos \left(i_p\right)$
3
MHT CET (PCB) 2024 22th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle of mass ' m ' is executing S.H.M. about the origin on $x$-axis with frequency $\sqrt{\frac{\mathrm{ka}}{\pi \mathrm{m}}}$, where ' $k$ ' is a constant and ' $a$ ' is the amplitude of S.H.M. If ' x ' is a displacement of a particle, at time ' $t$ ', potential energy of the particle will be

A
$\frac{1}{2} \mathrm{kax}^2$
B
$\pi \mathrm{kax}^2$
C
$2 \pi \mathrm{kax}^2$
D
$2 \mathrm{kax}^2$
4
MHT CET (PCB) 2024 22th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
A satellite is revolving round the earth with orbital speed ' $\mathrm{V}_0$ '. If it stops suddenly, the speed with which it will strike the surface of the earth would be ( $\mathrm{V}_{\mathrm{e}}=$ escape velocity of a particle on earth's surface)
A
$\frac{\mathrm{V}_{\mathrm{c}}^2}{\mathrm{~V}_0}$
B
$\quad 2 \mathrm{~V}_0$
C
$\sqrt{V_e^2-V_0^2}$
D
$\sqrt{\mathrm{V}_{\mathrm{e}}^2-2 \mathrm{~V}_0^2}$
EXAM MAP