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1
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Three rods of same mass are placed as shown in figure. The co-ordinates of centre of mass of the system are

A

$\left(\frac{\mathrm{a}}{3}, \frac{\mathrm{a}}{3}\right)$

B

$\left(a, \frac{a}{2}\right)$

C

$\left(2 a \frac{a}{2}\right)$

D

$\left(\frac{2 a}{3}, \frac{a}{3}\right)$

2
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A sphere of mass ' $m$ ', moving with velocity ' $3 u$ ' collides head-on with another identical sphere at rest. If ' $e$ ' is coefficient of restitution then what will be the ratio of velocity of the second sphere to that of first sphere after collision?

A
$\frac{1-\mathrm{e}}{1+\mathrm{e}}$
B
$\frac{1+\mathrm{e}}{1-\mathrm{e}}$
C
$\frac{e+1}{e-1}$
D
$\frac{e-1}{e+1}$
3
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+1
-0

An object of mass ' $m$ ' moving with velocity ' $u$ ' collides with another stationary object of mass ' $M$ ' and stops just after the collision. The coefficient of restitution is

A
$\frac{\mathrm{m}}{\mathrm{M}+\mathrm{m}}$
B
$\frac{M-m}{M+m}$
C
$\frac{\mathrm{m}}{\mathrm{M}}$
D
1
4
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
There is head-on elastic collision between the two particles moving in the same direction with speeds $5 \mathrm{~m} / \mathrm{s}$ and $3 \mathrm{~m} / \mathrm{s}$ respectively. After collision, the velocity of the first particle becomes $4 \mathrm{~m} / \mathrm{s}$ in the same direction. The velocity of the second particle should be
A
$6 \mathrm{~m} / \mathrm{s}$ in the same direction.
B
$4 \mathrm{~m} / \mathrm{s}$ in the same direction.
C
$2 \mathrm{~m} / \mathrm{s}$ in the opposite direction.
D
$3 \mathrm{~m} / \mathrm{s}$ in the same direction.
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Units & Measurement and Dimensions Vector Algebra Motion Laws of Motion Circular Motion Work, Energy and Power Center of Mass and Collision Rotational Motion Gravitation Simple Harmonic Motion Fluid Mechanics Elasticity Waves Heat and Thermodynamics
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Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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