In this problem, potential versus distance in X and Y direction is soon by the graph. And we have to find for Shannon electron kept in xy plane under this potential field. Okay, so before starting to solve this problem, let us first recall the concept that is a related to the potential and electric field, How potential is related to electric field. So we know that electric field E is equals two minus D P by D R. Okay, so basically rate of change of Putin's here is indicated by the electric field. And once we know the value of electric field, then we can find the force since force will be caused to charge into electric rate. So first we will use this relation minus Davey, where D. R. To get the value of electric field from the graphs. And then we will find what is the net electric field since their electric field exists in X and Y dimensions. And from the help of, with the help of net electric field we can calculate the net force acting on the electron. Okay, now, what does this physically signifies this derivative? So this derivative basically signifies the slope of the potential versus distance curve. Okay, so how we can write this term? So electric field in X direction will be equals two minus db by dx. Similarly electric field in Y direction will be closed to minus D V by divine. Okay, now, how to get the value of divided by So it is the slope D B, y d excess slope. So slope of V versus excursion. So here we can see that the slope is indicated by anti data. So let us say this angle is theta. Then how to get the value of 10 theatre. So we will use this right angled triangle in this right angled jungle the basis of 0.4 unit. Okay, now what is the value of this height? So this height is minus or two times V. S. And in the problem V. S. Is given as 500 world therefore. And the slope will be minus. What is the slope? So minus Two years. So instead of years we can write 500 world divided by 0.4 m. Okay, so it comes out to be minus and the minus will be plus. So 1000 divided by 0.4 which will be 2500 world per meter. Okay, so this is the value of electric field in X direction. Similarly, we can do the similar process for the white direction. So in white direction, this will be the key to So we can use the right angled jungle. Here, we can use this right angled jungle. So as we can see here that each unit is 0.1 m. So this is 0.10 point 20.30 point four. And this one will be 0.5. And this 0.5 will the potential corresponding to this distance is V. S. Weep and V. S. S 500 gold. So what we can right here, That electric field in white direction will be close to minus 500 Divided by distance is 0.5 m. So it will be involved per meter unit. So electric field in white direction will be equals 2 -1000 world per meter. Okay, now we know the value of electric field in X direction and we know the value of electric field in my direction as both these fields are perpendicular to each other. Therefore, net electric field will be caused to Squire route over electric field in X direction plus a Squire of electric fielding. Why direction? So it'll because two square root over 2500 fully square Plus -1000 Holy Square. So it comes out to be 20 692.58 World Per meter. Okay, world permit er can also be written as Newton per column. So it will be 2692.58. Newton per column. Since both of these units are equal world permit er is equals to Newton per column. Now we know the value of net electric field. Then we can find the value of net force. So net force F will be equals two Q into E. Now, what is the charge or as the electron escaped. Therefore, charge on on an electronic 1.6 into 10 days. To the power -19. Coolum And it will be multiplied with electric field which is 2692.58 Newton per column. So columns get cancelled here. So the electric force left comes out to be 4.3 into 10 days, to the power -16 Newton. So this is the force that electron will experience under the given field. So this is the answer of the problem.