1
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
Three identical spheres, each of mass 'm' kg, are kept as shown in the figure, touching each other, with their centers on a straight line. If their centers are marked as A, B, C respectively, the distance of center of mass of the system from A is
A
$\dfrac{AB+BC}{3}$
B
$\dfrac{AB+AC}{3}$
C
$\dfrac{AC+BC}{2}$
D
$\dfrac{AB+BC+AC}{3}$
2
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
Four point masses m, 2m, 3m and 4m are kept at the corners A, B, C and D respectively of a square ABCD of side '$b$'. The moment of inertia of the system about an axis perpendicular to the plane of the square and passing through the point D is
A
$12\ mb^2$
B
$10\ mb^2$
C
$8\ mb^2$
D
$5\ mb^2$
3
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
A system of five solid spheres each of mass '$m$' and radius '$r$' are rotating about an axis AA' as shown in figure. Hence the moment of inertia of the system about the axis of rotation AA' is
A
$6\ mr^2$
B
$5\ mr^2$
C
$4\ mr^2$
D
$3\ mr^2$
4
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
Two bodies A and B have moment of inertia $I_A$ and $I_B$, and angular momenta $L_A$ and $L_B$ respectively. Both of them have same kinetic energy of rotation. So the ratio $L_A$ to $L_B$ is
A
$\dfrac{I_A}{I_B}$
B
$\dfrac{I_A^2}{I_B^2}$
C
$\sqrt{\dfrac{I_A}{I_B}}$
D
$\sqrt{\dfrac{I_B}{I_A}}$

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