Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion \((A)\) : In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
Reason \((R)\) : In an elastic collision, the linear momentum of the system is conserved.
In the light of the above statements, choose the correct 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 \((A)\) : In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
Reason \((R)\) : In an elastic collision, the linear momentum of the system is conserved.
In the light of the above statements, choose the correct answer from the options given below
- If both Assertion and Reason are true and Reason is correct explanation of Assertion.
- If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
- If Assertion is true but Reason is false.
- If both Assertion and Reason are false.
The Correct Option is D
Solution and Explanation
Top Questions on Elastic and inelastic collisions
- Two particles, 1 and 2, each of mass 𝑚, are connected by a massless spring, and are on a horizontal frictionless plane, as shown in the figure. Initially, the two particles, with their center of mass at \(𝑥_0\), are oscillating with amplitude 𝑎 and angular frequency 𝜔. Thus, their positions at time 𝑡 are given by \(x_1 (t) = (x_0 + d) + \alpha \ sin \omega t\) and \(x_2t = (x_0 -d) − \alpha sin \ wt,\) respectively, where \(𝑑 > 2𝑎.\) Particle 3 of mass 𝑚 moves towards this system with speed 𝑢0 = 𝑎𝜔/2, and undergoes instantaneous elastic collision with particle 2, at time \(𝑡_0\). Finally, particles 1 and 2 acquire a center of mass speed \(𝑣_{cm}\) and oscillate with amplitude 𝑏 and the same angular frequency 𝜔.
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Questions Asked in AIIMS exam
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion (A) : 02 is liberated in the non-cyclic photophosphorylation.
Reason (R) : Liberation of oxygen is due to photolysis of water.
In the light of the above statements, choose the correct answer from the options given below
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Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion (A) : The Cro-Magnon man was the direct ancestor of the living modern man.
Reason (R) : Cro-Magnon man had slightly prognathous face.
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Reason: Orbital velocity of a satellite is greater than its escape velocity.
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Reason (R) : In bacteria, transcription and translation occurs in cytoplasm.
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- Transcription
Concepts Used:
Elastic and Inelastic Collisions
Elastic Collision:
According to elastic collision, the kinetic energy of the system will remain constant which means there will be no change in the kinetic energy of the system before and after the collision. It also goes along with the conservation of momentum.
Examples of Elastic Collision
- While playing billiards, balls hit each other.
- A ball is thrown and is bounced to the same height it was thrown from, is an example of elastic collision as there is no net change in the kinetic energy.
- The collision of atoms is also an elastic collision.
Inelastic Collision:
According to inelastic collision, the kinetic energy of the system is not conserved, unlike inelastic collision. The kinetic energy is lost as it gets debauched in other forms of energy like heat, sound, etc, or is absorbed by the body. But they go after the conservation of momentum, like an elastic collision.
Examples of Inelastic Collision
- When the ball is dropped on the ground, it fails to reach the height it was dropped from.
- The accident of two vehicles is an inelastic collision.
- If the clay is thrown at a wall, it sticks to it.
Read More: Elastic and Inelastic Collision