Question

Statement - 1 : In a given time interval, the average speed of a particle may be equal to magnitude of average velocity.
Statement - 2 : The magnitude of instantaneous velocity is equal to instantaneous speed of a particle in motion.

• A. Both statement 1 and statement 2 are correct and statement 2 is the correct explanation of statement 1.
• B. Both statement 1 and statement 2 are correct but statement 2 is not the correct explanation of statement 1.
• C. Statement 1 is correct and statement 2 is incorrect.
• D. Statement 1 is incorrect and statement 2 is correct.

Answer 1

The correct option is B Both statement 1 and statement 2 are correct but statement 2 is not the correct explanation of statement 1.

$\text{Average speed}=\frac{\text{Total distance}}{\text{Time taken}}$ and $\text{Average velocity}=\frac{\text{Total displacement}}{\text{Time taken}}$
In a particular interval if distance covered and displacement is equal then average speed will become equal to average velocity.
For arbitrary small interval of time the magnitude of displacement is equal to the length of the path.
So instantaneous velocity is equal to the instantaneous speed in magnitude.
Both the statements are correct but statement 2 is not the correct explanation of statement 1.