Gravitational potential in `x-y` plan varies with `x` and `y`
coordinates as
`V = x^(2)y+2xy`
Find gravitational field strength `E`.

Answer

A, B

Explanation

Gravitational field strength is given by
`E = -[(del V)/(del_(x)) hati+ (del V)/(del _(x))hatj]`
For the given potential function
`(delV)/(del_(x)) = (2xy + 2y)`
`(delV)/(del_(y)) = x^(2)+2x`
`:. E = -[(2xy+2y)hati+(x^(2)+2_(x))hatj]`.