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STATEMENT-1 In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
because
STATEMENT-2 In an elastic collision, the linear momentum of the system is conserved
  • a)
    Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
  • b)
    Statement-1 is True, Statement-2 is True; Statement-2 is NOT correct explanation for Statement-1
  • c)
    Statement-1 is True, Statement-2 is False
  • d)
    Statement-1 is False, Statement-2 is True
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
STATEMENT-1In an elastic collision between two bodies, the relative sp...
Statement-1: In an elastic collision between two bodies, the relative speed of the bodies after the collision is equal to the relative speed before the collision.

Statement-2: In an elastic collision, the linear momentum of the system is conserved.

Explanation:

To determine the correctness of the given statements, let's understand the concept of elastic collision and linear momentum conservation.

Elastic Collision:
An elastic collision is a type of collision in which both kinetic energy and linear momentum are conserved. This means that the total kinetic energy and total linear momentum of the system before the collision are equal to the total kinetic energy and total linear momentum of the system after the collision.

Linear Momentum:
Linear momentum is the product of an object's mass and its velocity. It is a vector quantity and is conserved in a closed system where no external forces are acting.

Explanation of Statement-2:
In an elastic collision, the linear momentum of the system is conserved. This means that the total linear momentum of the system before the collision is equal to the total linear momentum of the system after the collision. Mathematically, it can be represented as:

m1 * u1 + m2 * u2 = m1 * v1 + m2 * v2

where m1 and m2 are the masses of the bodies, u1 and u2 are their initial velocities, and v1 and v2 are their final velocities.

Explanation of Statement-1:
In an elastic collision, the relative speed of the bodies after the collision is equal to the relative speed before the collision.

To understand why this is true, let's consider an example. Suppose two objects A and B are moving towards each other with velocities u1 and u2 respectively. After the collision, object A moves in the opposite direction with final velocity v1, and object B moves in the opposite direction with final velocity v2. The relative speed of the bodies before the collision is given by:

Relative Speed before collision = |u1 - u2|

Similarly, the relative speed of the bodies after the collision is given by:

Relative Speed after collision = |v1 - v2|

Since the linear momentum is conserved in an elastic collision, we can equate the initial and final linear momenta:

m1 * u1 + m2 * u2 = m1 * v1 + m2 * v2

From this equation, we can deduce that the relative speed of the bodies after the collision is equal to the relative speed before the collision:

|v1 - v2| = |u1 - u2|

Therefore, Statement-1 is true.

Explanation of Statement-2 as an explanation for Statement-1:
Statement-2, which states that the linear momentum of the system is conserved in an elastic collision, provides a valid explanation for Statement-1. The conservation of linear momentum ensures that the relative speed of the bodies after the collision is equal to the relative speed before the collision. Hence, Statement-2 is a correct explanation for Statement-1.

Therefore, the correct answer is option 'B' - Statement-1 is true, Statement-2 is true, and Statement-2 is a correct explanation for Statement-1.
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Community Answer
STATEMENT-1In an elastic collision between two bodies, the relative sp...
In Collisions:
1. Momentum is conserved both in elastic and inelastic collisions.
2. Kinetic Energy is also conserved in elastic collisions.
 
Point 1 leads to Statement 2, i.e, 'In an elastic collision, the linear momentum of the system is conserved.
Point 2 leads to Statement 1, i.e, 'In an Elastic Collision between 2 bodies, the relative speed of the bodies after the collision is equal to the relative speed before the collision'.
 
Thus, both Statement 1 and Statement 2 are true, but Statement 2 is not the reason for Statement 1.
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STATEMENT-1In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.becauseSTATEMENT-2In an elastic collision, the linear momentum of the system is conserveda)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'B'. Can you explain this answer?
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STATEMENT-1In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.becauseSTATEMENT-2In an elastic collision, the linear momentum of the system is conserveda)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about STATEMENT-1In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.becauseSTATEMENT-2In an elastic collision, the linear momentum of the system is conserveda)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for STATEMENT-1In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.becauseSTATEMENT-2In an elastic collision, the linear momentum of the system is conserveda)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'B'. Can you explain this answer?.
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