1
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
$\frac{e-1}{e+1}$
2
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
3
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.
4
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Three identical metal balls each of radius ' $r$ ' are placed such that an equilateral triangle is formed when centres of three ball are joined. The centre of mass of the system is located at

A
centre of one of the balls.
B
point of intersection of medians.
C
line joining centres of any two balls.
D
on the circumference of any one of the balls.
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