 Hello friends. So the question is in which of the following cases of motions the distance moved and the magnitude of displacement are equal and The four options are a if the car is moving on straight road V If the car is moving in circular path see the pendulum is moving to and fro and D The earth is revolving around the Sun. So let's first draw all the cases. Let's try to draw Representative diagram for all the cases. So this is case a If the car is moving on a straight road. So if this is a straight road, this is a straight road and This is straight road and the car is Moving on this straight road Okay, and the car is moving in a straight road The distance moved and the magnitude of displacement would be equal. How so if this was the line It's in this line. The car was moving along this line. So point a To point V since it is a straight line. So distance and displacement both will be same Both will be same. So the what is distance distance is the actual path between actual path line between a and b So if this was let's say s meters It was s meters It's meters. So in this case distance is equal to displacement Is equal to s? Let's check case B. The car is moving in a circular path. So let's draw a circular path. This is the circular path in which the car in which the object is moving Actually, this is the circular path in which the object is moving or the car is moving So in this case Let's say the car the car moves from point point Point a this is point a let's say to point B Okay, so the Displacement will be nothing but the shortest distance between a and b. So this is a displacement But the distance is this much This curve path. So obviously the curve path is longer than the Displacement So hence in this case distance and displacement is not are not same pendulum now third is pendulum So let's take the case of a pendulum. So if let's say this is a pendulum Pendulum is something like that. Here is the bob and When this pendulum at the extreme position And this is the This is the another extreme position Okay, so here is the path length of The pendulum and it goes from one extreme to another So let's say this was a and this was B again in this case also the displacement was nothing but the shortest distance so this is displacement which is clearly shorter than the shorter than the path taken by The pendulum the actual path traversed by the pendulum is this right? This is the length this length is much more than The displacement the shortest distance in this case also distance in displacement are not same Similarly in case D. Let's take is D In case D. What is that the earth is moving around the Sun So if all of us know that the earth goes around the Sun in a typical orbit So this is Sun and Here is earth So an earth earth Goes around the Sun Clearly it is traversing an elliptical path. So so in this case also Let's say when the earth completes one full revolution So let's say earth completes one full full revolution from here from here Back to back to this position then then That displacement is zero as the initial and the final position is same But actual path length is much higher. So hence hence In this case Hence in this case Distance and displacement are not same. So the right answer in this case is a