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NEET PHYSICSEasy

The average velocity of a particle executing SHM in one complete vibration is:

A

zero

B

A\omega /2

C

A\omega

D

A\omega ²/2

Step-by-Step Solution

  1. Definition of Average Velocity: Average velocity is defined as the ratio of total displacement to the total time taken . vavg=Net DisplacementTotal Timev_{avg} = \frac{\text{Net Displacement}}{\text{Total Time}}
  2. Analyze Motion in One Complete Vibration: In one complete vibration (or oscillation), a particle starts from a specific position, moves to the extremes, and returns to the exact same initial position.
  3. Calculate Displacement: Since the initial and final positions are identical after one full cycle, the net displacement Δx=0\Delta x = 0.
  4. Conclusion: Substituting this into the formula: vavg=0T=0v_{avg} = \frac{0}{T} = 0 Note: The average speed would not be zero, but the average velocity is zero.
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