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Assertion: For inelastic collision, 0lee...

Assertion: For inelastic collision, `0leelt1`.
Reason: Hence, the magnitude of relative velocity of separation after collision is less than relative velocity of approach before collision.

A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.

C

If Assertion is true but Reason is false.

D

If Assertion is false but Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that for an inelastic collision, the coefficient of restitution (denoted as 'e') is equal to 0 or greater than 0 but less than 1. - In perfectly inelastic collisions, the two colliding bodies stick together after the collision, resulting in a coefficient of restitution of 0. In other inelastic collisions, the bodies do not stick together but still do not rebound to their original velocities, resulting in a coefficient of restitution greater than 0 but less than 1. 2. **Understanding the Reason**: - The reason states that the magnitude of the relative velocity of separation after the collision is less than the relative velocity of approach before the collision. - This is a fundamental property of inelastic collisions. The relative velocity of approach is the velocity at which two bodies are moving towards each other before the collision, while the relative velocity of separation is the velocity at which they move apart after the collision. In inelastic collisions, some kinetic energy is lost, leading to a smaller relative velocity of separation compared to the relative velocity of approach. 3. **Conclusion**: - Both the assertion and the reason are true. The assertion correctly describes the coefficient of restitution for inelastic collisions, and the reason accurately explains the relationship between the relative velocities before and after the collision. - Therefore, the correct answer is that both the assertion and the reason are true. ### Final Answer: Both the assertion and the reason are true.
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In an elastic one dimensional collision between two particles the relative veloctiy of approach before collision is

STATEMENT-1 : In an elastic collision between two bodies, the relative velocity of separation equals relative velocity of approach. and STATEMENT-2 : In a elastic collision , the coefficient of restitution is 1 .

In an inelastic collision (a) momentum of the system is always conserved (b) velocity of separation is less than the velocity of approach. (c) the coefficient of restitution can be zero. (d) All of the above

Assertion: In inelastic collision, linear momentum of system does not remain constant during collision. But before collision and after collision, it is constant. Reason: In elastic collision, momentum remains constant during collision also.

Statement I: In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Statement II: In an elastic collision, the linear momentum of the system is conserved.

STATEMENT-l : In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. STATEMENT-2 : In an elastic collision, the linear momentum of the system is conserved.

Collision is a physical process in which two or more objects, either particle masses or rigid bodies, experience very high force of interaction for a very small duration. It is not essential for the objects to physically touch each other for collision to occur. Irrespective of the nature of interactive force and the nature of colliding bodies, Newton's second law holds good on the system. Hence, momentum of the system before and after the collision remains conserved if no appreciable external force acts on the system during collision. The amount of energy loss during collision, if at all, is indeed dependent on the nature of colliding objects. The energy loss is observed to be maximum when objects stick together after collision. The terminology is to define collision as 'elastic' if no energy loss takes place and to define collision as 'plastic' for maximum energy loss. The behaviour of system after collision depends on the position of colliding objects as well. A unidirectional motion of colliding objects before collision can turn into two dimensional after collision if the line joining the centre of mass of the two colliding objects is not parallel to the direction of velocity of each particle before collision. Such type of collision is referred to as oblique collision which may be either two or three dimensional. For which of the following collisions, the external force acting on the system during collision is not appreciable as mentioned in paragraph 1.

Collision is a physical process in which two or more objects, either particle masses or rigid bodies, experience very high force of interaction for a very small duration. It is not essential for the objects to physically touch each other for collision to occur. Irrespective of the nature of interactive force and the nature of colliding bodies, Newton's second law holds good on the system. Hence, momentum of the system before and after the collision remains conserved if no appreciable external force acts on the system during collision. The amount of energy loss during collision, if at all, is indeed dependent on the nature of colliding objects. The energy loss is observed to be maximum when objects stick together after collision. The terminology is to define collision as 'elastic' if no energy loss takes place and to define collision as 'plastic' for maximum energy loss. The behaviour of system after collision depends on the position of colliding objects as well. A unidirectional motion of colliding objects before collision can turn into two dimensional after collision if the line joining the centre of mass of the two colliding objects is not parallel to the direction of velocity of each particle before collision. Such type of collision is referred to as oblique collision which may be either two or three dimensional. According to the definition of collision in paragraph I, which of the following physical process is not a collision?

Collision is a physical process in which two or more objects, either particle masses or rigid bodies, experience very high force of interaction for a very small duration. It is not essential for the objects to physically touch each other for collision to occur. Irrespective of the nature of interactive force and the nature of colliding bodies, Newton's second law holds good on the system. Hence, momentum of the system before and after the collision remains conserved if no appreciable external force acts on the system during collision. The amount of energy loss during collision, if at all, is indeed dependent on the nature of colliding objects. The energy loss is observed to be maximum when objects stick together after collision. The terminology is to define collision as 'elastic' if no energy loss takes place and to define collision as 'plastic' for maximum energy loss. The behaviour of system after collision depends on the position of colliding objects as well. A unidirectional motion of colliding objects before collision can turn into two dimensional after collision if the line joining the centre of mass of the two colliding objects is not parallel to the direction of velocity of each particle before collision. Such type of collision is referred to as oblique collision which may be either two or three dimensional. According to the definition of oblique collision in the paragraph, which of the following collisions cannot be oblique'?

Collision is a physical process in which two or more objects, either particle masses or rigid bodies, experience very high force of interaction for a very small duration. It is not essential for the objects to physically touch each other for collision to occur. Irrespective of the nature of interactive force and the nature of colliding bodies, Newton's second law holds good on the system. Hence, momentum of the system before and after the collision remains conserved if no appreciable external force acts on the system during collision. The amount of energy loss during collision, if at all, is indeed dependent on the nature of colliding objects. The energy loss is observed to be maximum when objects stick together after collision. The terminology is to define collision as 'elastic' if no energy loss takes place and to define collision as 'plastic' for maximum energy loss. The behaviour of system after collision depends on the position of colliding objects as well. A unidirectional motion of colliding objects before collision can turn into two dimensional after collision if the line joining the centre of mass of the two colliding objects is not parallel to the direction of velocity of each particle before collision. Such type of collision is referred to as oblique collision which may be either two or three dimensional. Which of the following collisions is one-dimensional?

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