Question Details

A particle comes round circle of radius 1 m once. The time taken by it is 10 sec. The average velocity of motion is

Options

A

0.2 π m/s

B

2 π m/s

C

2 m/s

D

Zero

Correct Answer :

Zero

Solution :

The correct option is Zero.

Step-by-step Explanation:

1. Understanding Average Velocity:
Average velocity is defined as the total displacement divided by the total time taken:
Average Velocity=Total DisplacementTotal Time
Displacement is a vector quantity that measures the shortest distance between the initial and final positions of the particle.

2. Analyzing the Particle's Path:
The question states that the particle completes one full round of the circle. Since it returns to its starting point, its final position is the same as its initial position. Therefore, the net displacement of the particle is zero:
Total Displacement=0 m
The time taken to complete this round is 10 seconds.

3. Calculating the Average Velocity:
Substituting the total displacement and total time into the formula:
Average Velocity=0 m10 s=0 m/s
Hence, the average velocity of the motion is Zero.

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