$Assertion$ : $n$ small balls each of mass $m$ colliding elastically each second on surface with velocity $u$. The force experienced by the surface is $2\,mnu$.
$Reason$ : On elastic collision, the ball rebounds with the same velocity.
$Assertion$ : $n$ small balls each of mass $m$ colliding elastically each second on surface with velocity $u$. The force experienced by the surface is $2\,mnu$.
$Reason$ : On elastic collision, the ball rebounds with the same velocity.
- [AIIMS 2010]
- A
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
- B
If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
- C
If the Assertion is correct but Reason is incorrect.
- D
If both the Assertion and Reason are incorrect.
Similar Questions
Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$ : Body $'P'$ having mass $M$ moving with speed $'u'$ has head-on collision elastically with another body $'Q'$ having mass $'m'$ initially at rest. If $m< < M,$ body $'Q'$ will have a maximum speed equal to $'2u'$ after collision.
Reason $R$ : During elastic collision, the momentum and kinetic energy are both conserved.
In the light of the above statements, choose the most appropriate answer from the options given below:
Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$ : Body $'P'$ having mass $M$ moving with speed $'u'$ has head-on collision elastically with another body $'Q'$ having mass $'m'$ initially at rest. If $m< < M,$ body $'Q'$ will have a maximum speed equal to $'2u'$ after collision.
Reason $R$ : During elastic collision, the momentum and kinetic energy are both conserved.
In the light of the above statements, choose the most appropriate answer from the options given below:
- [JEE MAIN 2021]
Two identical ball bearings in contact with each other and resting on a frictionless table are hit head-on by another ball bearing of the same mass moving initially with a speed $V$. If the collision is elastic, which of the following figure is a possible result after collision ?
Two identical ball bearings in contact with each other and resting on a frictionless table are hit head-on by another ball bearing of the same mass moving initially with a speed $V$. If the collision is elastic, which of the following figure is a possible result after collision ?
An alpha-particle of mass $m$ suffers $1-$ dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing, $64\%$ of its initial kinetic energy. The mass of the nucleus is .......... $\mathrm{m}$
An alpha-particle of mass $m$ suffers $1-$ dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing, $64\%$ of its initial kinetic energy. The mass of the nucleus is .......... $\mathrm{m}$
- [JEE MAIN 2019]
A bullet of $10\, {g}$, moving with velocity $v$, collides head-on with the stationary bob of a pendulum and recoils with velocity $100 \, {m} / {s}$. The length of the pendulum is $0.5\, {m}$ and mass of the bob is $1\, {kg}$. The minimum value of $v=$ $....{m} / {s}$ so that the pendulum describes a circle. (Assume the string to be inextensible and ${g}=10\, {m} / {s}^{2}$ )
A bullet of $10\, {g}$, moving with velocity $v$, collides head-on with the stationary bob of a pendulum and recoils with velocity $100 \, {m} / {s}$. The length of the pendulum is $0.5\, {m}$ and mass of the bob is $1\, {kg}$. The minimum value of $v=$ $....{m} / {s}$ so that the pendulum describes a circle. (Assume the string to be inextensible and ${g}=10\, {m} / {s}^{2}$ )
- [JEE MAIN 2021]
Two small balls are fixed at the ends of a light rigid rod of length $0.4\ m$.The system is released from height $h = 5\ m$ with rod horizontal. The balls collide with the horizontal surface and rebound . The coefficient of restitution between $A$ and ground is $0. 6$ and that between $B$ and ground is $0.4$ . Find angular speed (in $rad/s$) just after the collision. Taking acceleration of free fall $10\ m/s^2$
Two small balls are fixed at the ends of a light rigid rod of length $0.4\ m$.The system is released from height $h = 5\ m$ with rod horizontal. The balls collide with the horizontal surface and rebound . The coefficient of restitution between $A$ and ground is $0. 6$ and that between $B$ and ground is $0.4$ . Find angular speed (in $rad/s$) just after the collision. Taking acceleration of free fall $10\ m/s^2$