1
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
$13\text{MR}^2/20$
2
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
$\sqrt{\dfrac{8G}{d}(M_1 - 2M_2)}$
3
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
$\dfrac{1}{2\pi}\sqrt{\dfrac{\text{m}}{\text{A}\varrho\text{g}}}$
4
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
A closed pipe containing liquid showed a pressure $P_1$ by gauge. When the valve was opened, pressure was reduced to $P_2$. The speed of water flowing out of the pipe is ($\varrho$=density of water)
A
$\left[\dfrac{(P_1 - P_2)}{\varrho}\right]^{\frac{1}{2}}$
B
$\left[\dfrac{2(P_1 - P_2)}{\varrho}\right]^{\frac{1}{2}}$
C
$\left[\dfrac{(P_2 - P_1)}{\varrho}\right]^{\frac{1}{2}}$
D
$\left[\dfrac{2(P_2 - P_1)}{\varrho}\right]^{\frac{1}{2}}$

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