MCQ
The coefficient of restitution $e$ for a perfectly elastic collision is
- ✓$1$
- B$0$
- C$\infty $
- D$-1$
✓
Answer
Correct option: A.
$1$
a
(a) Coefficient of restitution or resilience of two bodies is defined as the constant ratio
(a) Coefficient of restitution or resilience of two bodies is defined as the constant ratio
of relative velocity after impact to the relative velocity of the bodies before impact
when the two bodies collide head on. There velocities are in the opposite directions.
Thus $\frac{v_{1}-v_{2}}{u_{1}-u_{2}}=$ constant $=-\mathrm{e}$
The constant e is known as coeff. of restitution or resilience of two bodies.
For a perfectly elastic collision, $\mathrm{e}=1$ and for a perfectly inelastic collision,
$e=0 .$ Thus $0 \leq e \leq 1$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If two waves having amplitudes $2A$ and $A$ and same frequency and velocity, propagate in the same direction in the same phase, the resulting amplitude will be
→Four curves $A, B, C$ and $D$ are drawn in the adjoining figure for a given amount of gas. The curves which represent adiabatic and isothermal changes are
→$A$ cylinder and a ring of same mass $M$ and radius $R$ are placed on the top of a rough inclined plane of inclination $\theta$ . Both are released simultaneously from the same height $h$. Choose the correct statement $(s)$ related to the motion of each body
→Due to $S.C.R$ in vacuum tube
→Suppose a uniformly charged wall provides a uniform electric field of $2 \times 10^4 \mathrm{~N} / \mathrm{C}$ normally. A charged particle of mass $2 \mathrm{~g}$ being suspended through a silk thread of length $20 \mathrm{~cm}$ and remain stayed at a distance of $10 \mathrm{~cm}$ from the wall. Then the charge on the particle will be $\frac{1}{\sqrt{\mathrm{x}}} \ \mu \mathrm{C}$ where $\mathrm{x}=$ ____________. use $g=10 \mathrm{~m} / \mathrm{s}^2$ ]
→A man of weight $75\, kg$ is standing in an elevator which is moving with an acceleration of $5\,m/{s^2}$ in upward direction the apparent weight of the man will be ........... $N$ $(g = 10\,\,m/{s^2})$
→A ball of mass $0.2 \ kg$ rests on a vertical post of height $5 m$. A bullet of mass $0.01 \ kg$, traveling with a velocity $V / s$ in a horizontal direction, hits the centre of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of $20 \ m$ and the bullet at a distance of $100 \ m$ from the foot of the post. The initial velocity $V$ of the bullet is
→An unbanked curve has a radius of $60\,m$. The maximum speed at which a car can make a turn if the coefficient of static friction is $0.75$, is ...... $m/s$
→A photoelectric cell is illuminated by a point source of light $1\; m$ away. When the source is shifted to $2\;m$ then
→In gamma ray emission from a nucleus