1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
A block of mass 'm' moving on a frictionless horizontal surface collides with a spring of spring constant 'K' and compresses it through a distance 'x'. The maximum momentum of the block after collision is
A
zero
B
$\sqrt{\text{km}}\ x$
C
$\text{mx}^2/\text{K}$
D
$\text{Kx}^2/2\text{m}$
2
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
A Solid sphere has mass M and radius R. Its moment of inertia about a parallel axis passing through a point at a distance R/3 from its centre is
A
$8\text{MR}^2/11$
B
$11\text{MR}^2/15$
C
$23\text{MR}^2/45$
D
$13\text{MR}^2/20$
3
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
The masses and radii of the earth and moon are $M_1$, $R_1$ and $M_2$, $R_2$ and respectively, Their centres are at a distance 'd' apart. The minimum speed with which body of mass 'm' should be projected from a distance $2d/3$ from the centre of $M_1$ so as to escape to infinity is
A
$\sqrt{\dfrac{6G}{d}(2M_1 + M_2)}$
B
$\sqrt{\dfrac{6G}{d}(M_1 - 2M_2)}$
C
$\sqrt{\dfrac{3G}{d}(M_1 + 2M_2)}$
D
$\sqrt{\dfrac{8G}{d}(M_1 - 2M_2)}$
4
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
A rectangular block of mass 'm' and cross-sectional area 'A' floats on a liquid of density '$\varrho$'. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency (g=acceleration due to gravity)
A
$2\pi\sqrt{\dfrac{\text{m}}{\text{A}\varrho\text{g}}}$
B
$2\pi\sqrt{\dfrac{\text{A}\varrho\text{g}}{\text{m}}}$
C
$\dfrac{1}{2\pi}\sqrt{\dfrac{\text{A}\varrho\text{g}}{\text{m}}}$
D
$\dfrac{1}{2\pi}\sqrt{\dfrac{\text{m}}{\text{A}\varrho\text{g}}}$

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