The gravitational field in a region is given by: E =(5 N / k g) i +(12 N / k g) j If the potential at the origin is taken to be zero, then the ratio of the potential at the points (12 ~m , 0) and (0,5 ~m ) is :

Step-by-step solution

From question, E _ x =5 ~N / kg and E _ y =12 ~N / kg Gravitational potential = Gravitational field distance V _ (12 ~m , 0) = E _ x 12 ~J / kg and V _ (0,5 ~m ) = E _ y 5 ~J / kg (Given : potential at the origin is zero) V_ (12 ~m , 0) V _ (0,5 ~m ) = E _ x 12 E _ y 5 = 5 12 12 5 =1