The coefficient of restitution for elastic bodies is;a)1b)0 - 1c)-1 -...
Coefficient of restitution for elastic bodies is 0 - 1.
Coefficient of restitution for perfectly elastic bodies is 1
View all questions of this test
The coefficient of restitution for elastic bodies is;a)1b)0 - 1c)-1 -...
The coefficient of restitution is a measure of the elasticity or bounciness of a collision between two objects. It is denoted by the symbol "e" and is defined as the ratio of the final relative velocity of separation to the initial relative velocity of approach between the two objects.
The coefficient of restitution can have values between 0 and 1, where 0 represents a perfectly inelastic collision (no bouncing) and 1 represents a perfectly elastic collision (maximum bouncing).
Explanation:
Definition of Coefficient of Restitution
The coefficient of restitution, denoted by "e", is a dimensionless quantity that measures the elasticity or bounciness of a collision between two objects. It is defined as the ratio of the final relative velocity of separation (v2') to the initial relative velocity of approach (v1) between the two objects.
Range of Coefficient of Restitution
The coefficient of restitution can have values between 0 and 1. The different possible values and their corresponding meanings are:
- 0: A coefficient of restitution of 0 represents a perfectly inelastic collision. In this case, the two objects stick together after the collision and move as a single unit. There is no bouncing or separation between them.
- 1: A coefficient of restitution of 1 represents a perfectly elastic collision. In this case, the two objects bounce off each other with maximum separation. The kinetic energy is conserved, and there is no loss of energy during the collision.
- Between 0 and 1: A coefficient of restitution between 0 and 1 represents a partially elastic collision. In this case, the two objects bounce off each other to some extent, but not with maximum separation. Some energy is lost during the collision, resulting in a decrease in the relative velocity of separation compared to the initial relative velocity of approach.
Correct Answer: Option 'B'
The correct answer to the question is option 'B' because the coefficient of restitution for elastic bodies falls within the range of 0 to 1. Elastic bodies are capable of bouncing off each other and have a non-zero coefficient of restitution.
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.