1
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two solid spheres ( A and B ) are made of metals having densities $\rho_A$ and $\rho_B$ respectively. If there masses are equal then ratio of their moments of inertia $\left(\frac{\mathrm{I}_{\mathrm{B}}}{\mathrm{I}_{\mathrm{A}}}\right)$ about their respective diameter is

A
$\left(\frac{\rho_B}{\rho_A}\right)^{2 / 3}$
B
$\left(\frac{\rho_A}{\rho_B}\right)^{2 / 3}$
C
$\frac{\rho_A}{\rho_B}$
D
$\frac{\rho_B}{\rho_A}$
2
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A stationery wave is represented by $y=12 \cos \left(\frac{\pi}{6} x\right) \sin (8 \pi t)$, where $x \& y$ are in cm and $t$ in second. The distance between two successive antinodes is

A
12 cm
B
10 cm
C
6 cm
D
2 cm
3
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A hemispherical portion of radius ' $R$ ' is removed from the bottom of a cylinder of radius ' R '. The volume of the remaining cylinder is ' V ' and its mass is ' M '. It is suspended by a string in a liquid of density ' $\rho$ ', where it stays vertical. The upper surface of the cylinder is at a depth ' $h$ ' below the liquid surface. The force on the bottom of the liquid is

A
Mg
B
$\mathrm{Mg}-\mathrm{V} \rho g$
C
$\mathrm{Mg}+\pi \mathrm{R}^2 \mathrm{~h} \rho g$
D
$ \mathrm{pg}\left(\mathrm{V}+\pi \mathrm{r}^2 \mathrm{~h}\right)$
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A parallel beam of light of intensity $I_0$ is incident on a glass plate, $25 \%$ of light is reflected by upper surface and $50 \%$ of light is reflected from lower surface. The ratio of maximum to minimum intensity in interference region of reflected rays is

A
$\left[\frac{\frac{1}{2}+\sqrt{\frac{3}{8}}}{\frac{1}{2}-\sqrt{\frac{3}{8}}}\right]^2$
B
$\left[\frac{\frac{1}{4}+\sqrt{\frac{3}{8}}}{\frac{1}{2}-\sqrt{\frac{3}{8}}}\right]^2$
C
$\frac{5}{8}$
D
$\frac{8}{5}$
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