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Which of the following statements is inc...

Which of the following statements is incorrect? (i) Average velocity is path length divided by time interval.
(ii) In general, speed is greater than the magnitude of the velocity.
(iii) A particle moving in a given direction with a non-zero velocity can have zero speed. (iv) The magnitude of average velocity is the average speed.

A

(ii) and (iii)

B

(ii) and (iv)

C

(i), (iii) and (iv)

D

All four

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) : Average velocity = Displacement/Time interval
A particle moving in a given direction with non-zero velocity cannot have zero period.
In general, average speed is not equal to magnitude of average velocity. However it can be so if the motion is aolong a straight line without change in direction .
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Knowledge Check

  • Which of the following statements is /are correct ? I.Average speed over a finite interval of times is greater or equal to the magnitude of the average velocity. The instantaneous speed at an instant is equal to the magnitude of the instantaneous velocity at that instant.

    A
    Only I
    B
    Only II
    C
    Both I and II
    D
    None is correct

  • Which of the following statements is correct about the average velocity of a particle? (The average stands for average of the quantity over the time interval , t_1 " to " t_2 )

    A
    `vecv_("average")=(vecv(t_2)-vecv(t_1))/2`
    B
    `vecv_("average")=veca_("average")(t_2-t_1)`
    C
    `vecv_("average") = (vecv(t_2)+vecv(t_1))/2`
    D
    `vecv_("average") = (vecr(t_2)+vecr(t_1))/(t_2-t-1)`

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