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The numerical ratio of distance to displacement is
- a)Always equal to one
- b)Always less than one
- c)always greater than one
- d)equal or more than one
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The numerical ratio of distance to displacement isa)Always equal to on...
Explanation:
The numerical ratio of distance to displacement can vary depending on the path taken. Let's understand the concepts of distance and displacement first.
Distance:
Distance is a scalar quantity that refers to the total length traveled by an object. It is the actual path length covered by the object, irrespective of the direction. Distance is always positive and cannot be negative.
Displacement:
Displacement is a vector quantity that refers to the change in position or the straight-line distance between the initial and final positions of an object. Displacement includes both magnitude and direction. It can be positive, negative, or zero.
Ratio of Distance to Displacement:
The numerical ratio of distance to displacement can be calculated using the formula:
Ratio = Distance / Displacement
Since distance is always positive and displacement can be positive, negative, or zero, the ratio of distance to displacement can vary.
Options:
a) Always equal to one - This is incorrect because the ratio of distance to displacement is not always one.
b) Always less than one - This is incorrect because the ratio can be greater than one if the object takes a curved path.
c) Always greater than one - This is incorrect because the ratio can be less than one if the object takes a straight path.
d) Equal to or more than one - This is the correct option because the ratio of distance to displacement can be equal to one or greater than one.
Example:
Let's consider an example to understand this concept. Suppose an object moves in a straight line from point A to point B and then returns back to point A. The distance covered by the object is twice the distance between point A and point B. However, the displacement is zero because the object returns to its initial position.
In this case, the ratio of distance to displacement is:
Ratio = Distance / Displacement
Ratio = 2d / 0
Ratio = undefined
As the displacement is zero, the ratio becomes undefined. This supports the fact that the ratio of distance to displacement can be equal to or greater than one.
Therefore, the correct answer is option 'D' - Equal to or more than one.
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Community Answer
The numerical ratio of distance to displacement isa)Always equal to on...
The answer is option d) equal or more than one
Distance:
It is the actual distance traveled by an object.
Displacement:
It is the shortest path from the starting point to the ending point.
You can relate to it like this,
While traveling by a car from one place to another we would have to take directions turning and zigzagging to reach the destination whereas while traveling by plane you would just fly straight to the destination.
So, from the above situation we can understand that the plane is taking the shorter route, this is basically displacement and the situation of the car is distance.
That means when we take the ratio of the distance to displacement it will always be greater than one as displacement is lesser than the distance.
But in some cases distance is equal to the displacement. This is when both the distance and the displacement are in straight line.
For example. if your friend lives in the same street as you are then you would just go to his/her house directly even with a plane or a car.
Therefore, in this case if we take the ratio of the distance to displacement it will be equal to one, since they both have the same value.
Hence, we can conclude that option d) is correct.
Here is an image to make it simpler for you to understand.
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