Please answer this question with explanation of pqoqpqiqpqiqpaiapqoqqqq - Physics - Physical World

Question

Please answer this question with explanation of
pqoqpqiqpqiqpaiapqoqqqq

Siddharth Shankar Singh · Accepted Answer

Solution:

U=xy2+3zAt, (1,0,0),  U=xy2+3z=1×02+3×0=0Fx=-∂U∂x=-∂∂xxy2+3z=-y2          (keeping y and z constant)At (1,0,3),   Fx=-y2=-02=0Simillarly,Fy=-∂U∂y=-∂∂xxy2+3z=-2yx          (keeping x and z constant)At (1,1,0),   Fy=-2yx=-2×1×1=-2Also,Fz=-∂U∂z=-∂∂zxy2+3z=-3          (keeping x and y constant)At (1,2,3),   Fz=-3

Hence, the correct answer is option (d)