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(Class – IX)
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Question 1:
An object has moved through a distance. Can it have zero displacement? If yes,
support your answer with an example.
Answer 1:
Yes, zero displacement is possible if an object has moved through a distance.
Suppose a body is moving in a circular path and starts moving from point A and
it returns back at same point A after completing one revolution, then the distance
will be equal to its circumference while displacement will be zero.
Question 2:
A farmer moves along the boundary of a square field of side 10 m in 40 s. What
will be the magnitude of displacement of the farmer at the end of 2 minutes 20
seconds from his initial position?
Answer 2:
Given, side of the square field = 10 m
Therefore, perimeter = 10 m × 4 = 40 m
Farmer moves along the boundary in 40 s
Time = 2 minutes 20 s = 2 × 60 s + 20 s = 140 s
since, in 40 s farmer moves 40 m
Therefore, in 1s distance covered by farmer = 40 ÷ 40 = 1m.
Therefore, in 140s distance covered by farmer = 1 × 140 m = 140 m
Now, number of rotation to cover 140 along the boundary =
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(Class – IX)
= 140 m ÷ 40 m = 3.5 round
Thus after 3.5 round farmer will at point C (diagonally opposite to his initial
position) of the field.
Therefore, Displacement AC = √102 + 102 = √200 = 10√2 m
Thus, after 2 minute 20 second the displacement of farmer will be equal
to 10√2 m north east from initial position.
Question 3:
Which of the following is true for displacement?
(a) It cannot be zero.
(b) Its magnitude is greater than the distance travelled by the object.
Answer 3:
None of (a) and (b) are true.
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