1
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A circular disc of radius ' $R$ ' and thickness $\frac{R}{8}$ has moment of inertia 'I' about an axis passing through its centre and perpendicular to its plane. It is melted and recasted into a solid sphere then moment of inertia of sphere about an axis passing through diameter is

A
$I$
B
$\frac{21}{3}$
C
$\frac{\mathrm{I}}{5}$
D
$\frac{\mathrm{I}}{10}$
2
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
$\frac{\rho_B}{\rho_A}$
3
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A thin uniform circular disc of mass ' $M$ ' and radius ' $R$ ' is rotating with angular velocity ' $\omega$ ' in a horizontal plane about an axis passing through its centre and perpendicular to its plane. Another disc of same radius but of mass $\left(\frac{\mathrm{M}}{3}\right)$ is placed gently on the first disc co-axially. The new angular velocity will be

A
$\frac{2}{3} \omega$
B
$\frac{3}{4} \omega$
C
$\frac{4}{3} \omega$
D
$\frac{5}{4} \omega$
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A solid cylinder of mass ' $M$ ' and radius ' $R$ ' rolls down an inclined plane of height ' $h$ '. When it reaches the foot of the plane, its rotational kinetic energy is ( $\mathrm{g}=$ acceleration due to gravity)

A
$\frac{\mathrm{Mgh}}{3}$
B
$\frac{\mathrm{Mgh}}{6}$
C
$\frac{\mathrm{Mgh}}{4}$
D
$\frac{\mathrm{Mgh}}{2}$
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