 Hi in this question We have to find out the numerical ratio of displacements to distance for a moving object Now let's first define the two terms distance and displacement and then we'll look up look at the options. So first thing is this distance So what is distance distance is the actual path length? So it is nothing but length length of the path length of the path traversed traversed by Any object Okay, so let's say Let's say we have an object at point a and it goes to point b Okay, now let's say this is the actual path taken by the object So it is traveling like that and finally ends up at point B. So this is the This is the sense of motion. So now this let's say the actual path length of this was X meters X meters, okay X meters. So hence this is Distance, this is distance while displacement While displacement would be the shortest distance between a and B which happens to be the straight line I'll write Yeah, like that. So this is the this is a straight line Joining a and B. So let's say This length of the shortest distance is why why meters? Okay, so this becomes my displacement, right? So clearly in this case, I'm writing again. So distance is equal to X and Displacement Displacement is equal to Y now clearly Y is less than X in terms of the total length Why because why happens to be the shortest distance between a and B? So why will be less than all the other path lengths joining a and B? So you take any other path. Let's take another path, let's say The point a B like that it goes and goes to B. Okay, so this this in all will also be More than why let's say this was Z So clearly Y is less than X and Y is less than Z So shortest distance will be shortest among all the distances between a and B So hence if you if you take the ratio now, let's take the ratio Displacement by distance Displacement by distance is nothing but Y by X or Y by Z or whatever So in this case clearly since Y is less than X. So this ratio ratio ratio of Displacement by Distance will always be less than equal to One why equal to when let's say When X is equal to Y then the ratio Ratio will be equal to one. So what do we observe? We observe that Displacement will always be less than or equal to displacement So hence our option will be B Right numerical ratio of displacements distance for a moving object is equal or less than one