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A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :
- a)they will move in opposite directions
- b)A continues to move in the original direction while B remains at test
- c)they will move in mutually perpendicular directions
- d)A comes to rest and B starts moving in the direction of the original motion of A
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A particle A suffers an oblique elastic collision with a particle B th...
As masses are equal and collision elastic
∴ velocity along line of impact gets exchanged and velocity perpendicular to line of impact remains unchanged.
∴ velocity along line of impact gets exchanged and velocity perpendicular to line of impact remains unchanged.
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A particle A suffers an oblique elastic collision with a particle B th...
Explanation:
Before we dive into the explanation, let's first understand the concept of an elastic collision. An elastic collision is a collision between two or more objects in which both energy and momentum are conserved. In an elastic collision, the total kinetic energy before the collision is equal to the total kinetic energy after the collision.
Now, let's analyze the given scenario step by step.
Initial Conditions:
Particle A is moving obliquely with a certain velocity.
Particle B is initially at rest.
1. Conservation of Momentum:
In an elastic collision, the total momentum before the collision is equal to the total momentum after the collision.
Since particle B is initially at rest, its momentum is zero. Therefore, the total momentum before the collision is equal to the momentum of particle A.
After the collision, the total momentum must still be conserved. So, both particles A and B will have momentum.
2. Conservation of Kinetic Energy:
In an elastic collision, the total kinetic energy before the collision is equal to the total kinetic energy after the collision.
Since particle B is initially at rest, its kinetic energy is zero. Therefore, the total kinetic energy before the collision is equal to the kinetic energy of particle A.
After the collision, the total kinetic energy must still be conserved. So, both particles A and B will have kinetic energy.
3. Analysis of Collision:
Given that the masses of particles A and B are the same, and the collision is oblique, the most likely scenario is that the particles will move in mutually perpendicular directions after the collision.
This is because if the particles move in opposite directions, their momenta will cancel each other out, resulting in a total momentum of zero. However, this would violate the conservation of momentum. Therefore, option A is incorrect.
If particle A continues to move in the original direction while particle B remains at rest, the total momentum after the collision would be non-zero, violating the conservation of momentum. Therefore, option B is incorrect.
If the particles move in mutually perpendicular directions, their momenta will not cancel each other out completely, and the total momentum after the collision would be non-zero while conserving momentum. Therefore, option C is correct.
If particle A comes to rest and particle B starts moving in the direction of the original motion of A, the total kinetic energy after the collision would be less than the initial total kinetic energy, violating the conservation of kinetic energy. Therefore, option D is incorrect.
Hence, option C is the correct answer.
Before we dive into the explanation, let's first understand the concept of an elastic collision. An elastic collision is a collision between two or more objects in which both energy and momentum are conserved. In an elastic collision, the total kinetic energy before the collision is equal to the total kinetic energy after the collision.
Now, let's analyze the given scenario step by step.
Initial Conditions:
Particle A is moving obliquely with a certain velocity.
Particle B is initially at rest.
1. Conservation of Momentum:
In an elastic collision, the total momentum before the collision is equal to the total momentum after the collision.
Since particle B is initially at rest, its momentum is zero. Therefore, the total momentum before the collision is equal to the momentum of particle A.
After the collision, the total momentum must still be conserved. So, both particles A and B will have momentum.
2. Conservation of Kinetic Energy:
In an elastic collision, the total kinetic energy before the collision is equal to the total kinetic energy after the collision.
Since particle B is initially at rest, its kinetic energy is zero. Therefore, the total kinetic energy before the collision is equal to the kinetic energy of particle A.
After the collision, the total kinetic energy must still be conserved. So, both particles A and B will have kinetic energy.
3. Analysis of Collision:
Given that the masses of particles A and B are the same, and the collision is oblique, the most likely scenario is that the particles will move in mutually perpendicular directions after the collision.
This is because if the particles move in opposite directions, their momenta will cancel each other out, resulting in a total momentum of zero. However, this would violate the conservation of momentum. Therefore, option A is incorrect.
If particle A continues to move in the original direction while particle B remains at rest, the total momentum after the collision would be non-zero, violating the conservation of momentum. Therefore, option B is incorrect.
If the particles move in mutually perpendicular directions, their momenta will not cancel each other out completely, and the total momentum after the collision would be non-zero while conserving momentum. Therefore, option C is correct.
If particle A comes to rest and particle B starts moving in the direction of the original motion of A, the total kinetic energy after the collision would be less than the initial total kinetic energy, violating the conservation of kinetic energy. Therefore, option D is incorrect.
Hence, option C is the correct answer.
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A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :a)they will move in opposite directionsb)A continues to move in the original direction while B remains at testc)they will move in mutually perpendicular directionsd)A comes to rest and B starts moving in the direction of the original motion of ACorrect answer is option 'C'. Can you explain this answer?
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A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :a)they will move in opposite directionsb)A continues to move in the original direction while B remains at testc)they will move in mutually perpendicular directionsd)A comes to rest and B starts moving in the direction of the original motion of ACorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :a)they will move in opposite directionsb)A continues to move in the original direction while B remains at testc)they will move in mutually perpendicular directionsd)A comes to rest and B starts moving in the direction of the original motion of ACorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :a)they will move in opposite directionsb)A continues to move in the original direction while B remains at testc)they will move in mutually perpendicular directionsd)A comes to rest and B starts moving in the direction of the original motion of ACorrect answer is option 'C'. Can you explain this answer?.
A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :a)they will move in opposite directionsb)A continues to move in the original direction while B remains at testc)they will move in mutually perpendicular directionsd)A comes to rest and B starts moving in the direction of the original motion of ACorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :a)they will move in opposite directionsb)A continues to move in the original direction while B remains at testc)they will move in mutually perpendicular directionsd)A comes to rest and B starts moving in the direction of the original motion of ACorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :a)they will move in opposite directionsb)A continues to move in the original direction while B remains at testc)they will move in mutually perpendicular directionsd)A comes to rest and B starts moving in the direction of the original motion of ACorrect answer is option 'C'. Can you explain this answer?.
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A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :a)they will move in opposite directionsb)A continues to move in the original direction while B remains at testc)they will move in mutually perpendicular directionsd)A comes to rest and B starts moving in the direction of the original motion of ACorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :a)they will move in opposite directionsb)A continues to move in the original direction while B remains at testc)they will move in mutually perpendicular directionsd)A comes to rest and B starts moving in the direction of the original motion of ACorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A particle A suffers an oblique elastic collision with a particle B that is at rest initially. If their masses are the same, then, after the collision :a)they will move in opposite directionsb)A continues to move in the original direction while B remains at testc)they will move in mutually perpendicular directionsd)A comes to rest and B starts moving in the direction of the original motion of ACorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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