1
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two spheres of equal masses, one of which is a thin spherical shell and the other solid sphere, have the same moment of inertia about their respective diameters. The ratio of their radii is

A
$3: 5$
B
$\sqrt{3}: \sqrt{5}$
C
$\sqrt{3}: \sqrt{7}$
D
$5: 7$
2
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Assuming the expression for the pressure exerted by the gas, it can be shown that pressure is

A
$\left(\frac{3}{4}\right)^{\text {th }}$ of kinetic energy per unit volume of a gas.
B
$\left(\frac{2}{3}\right)^{\text {rd }}$ of kinetic energy per unit volume of a gas.
C
$\left(\frac{1}{3}\right)^{\mathrm{rd}}$ of kinetic energy per unit volume of a gas.
D
$\left(\frac{3}{2}\right)^{\text {rd }}$ of kinetic energy per unit volume of a gas.
3
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle executing S.H.M. has velocities ' $\mathrm{V}_1$ ' and ' $\mathrm{V}_2$ ' at distances ' $x_1$ ' and ' $x_2$ ' respectively, from the mean position. Its frequency is

A
$\frac{1}{2 \pi} \sqrt{\frac{V_1^2-V_2^2}{x_1^2-x_2^2}}$
B
$2 \pi \sqrt{\frac{x_1^2-x_2^2}{v_1^2-V_2^2}}$
C
$\frac{1}{2 \pi} \sqrt{\frac{V_2^2-V_1^2}{x_1^2-x_2^2}}$
D
$2 \pi \sqrt{\frac{\mathrm{x}_1^2-\mathrm{x}_2^2}{\mathrm{~V}_2^2-\mathrm{V}_1^2}}$
4
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The angle of incidence is found to be twice the angle of refraction when ray of light passes from vacuum into a medium of refractive index ' $\mu$ '. The angle of incidence will be

A
$\cos ^{-1}\left(\frac{\mu}{2}\right)$
B
$2 \cos ^{-1}\left(\frac{\mu}{2}\right)$
C
$\sin ^{-1}\left(\frac{\mu}{2}\right)$
D
$2 \sin ^{-1}\left(\frac{\mu}{2}\right)$
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