Which of the following statements is incorrect?a)Displacement is indep...
When a particle returns to it's initial position, Initial and final positions will be same therefore net displacement of the particle is zero. Hence the given statement is false.
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Which of the following statements is incorrect?a)Displacement is indep...
Explanation:
The incorrect statement among the given options is option 'c': When a particle returns to its starting point, its displacement is not zero.
Displacement:
Displacement is a vector quantity that measures the change in position of an object. It is defined as the shortest distance between the initial and final positions of an object, along with the direction. Displacement is independent of the choice of origin of the axis, which means it does not depend on where we choose the reference point or the coordinate system.
Distance Travelled:
Distance travelled is a scalar quantity that measures the total path length covered by an object. It is the actual path length, regardless of direction.
Explanation of Incorrect Statement:
The statement in option 'c' is incorrect because when a particle returns to its starting point, its displacement is indeed zero. This is because displacement takes into account the shortest distance and direction between the initial and final positions. When a particle returns to its starting point, the initial and final positions coincide, resulting in a zero displacement.
To understand this concept, consider a particle moving in a straight line. If it moves to the right by 5 units and then returns to its starting point by moving left 5 units, the displacement would be zero. This is because the particle ends up at the same position as where it started.
Example:
Suppose a particle starts at position A (0,0) in a two-dimensional coordinate system. It moves to position B (3,4) and then returns to position A (0,0). The distance travelled by the particle is the sum of the lengths of the two line segments AB and BA, which is 3 units + 5 units = 8 units. However, the displacement is the vector that points from the initial position to the final position, which is a straight line from A to A, resulting in a displacement of zero.
Therefore, the correct statement is that when a particle returns to its starting point, its displacement is indeed zero (option 'c' is incorrect).
Which of the following statements is incorrect?a)Displacement is indep...
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