Question

Consider the given statements and select the option which correctly identifies the true $\left(T\right)$ and false $\left(F\right)$ statements.
(i) Distance is the magnitude of displacement in all cases.
(ii) When a body moves with uniform speed, then the average speed is same as instantaneous speed.
(iii) Average speed is greater than the average velocity if a body is moving in a straight line without reversing its direction.
(iv) When a body moves with constant velocity, the average velocity is zero.

• A. (i) T (ii) F (iii) T (iv) F
• B. (i) T (ii) T (iii) T (iv) T
• C. (i) F (ii) F (iii) F (iv) F
• D. (i) F (ii) T (iii) F (iv) F

Answer 1

The correct option is D (i) F (ii) T (iii) F (iv) F

If the body moves in a straight line and then takes U turn, then magnitude of displacement is not equal to distance covered by it. Thus statement (i) is false.

It is true that average speed is same as instantaneous speed in the case a body moves with uniform speed.

If the body is moving in a straight line without taking reversing its direction, then average speed is equal to the average velocity. Thus statement (iii) is false.

When a body moves with constant velocity, the average velocity is equal to that constant velocity but not zero. Thus statement (iv) is also false.

Correct answer is option D.