The gravitational field in a region is given by E = (2i + 3j )N/kg. No work is done by the gravitational field when a particle is moved on the line 3y + kx = 5. The value of k should be:

Q: The gravitational field in a region is given by $\vec{E} = 2 \hat{i} + 3 \hat{j}$ N/kg. No work is done by the gravitational field when a particle is moved on the line 3y + kx = 5. The value of k should be:

(a) 1

(b) 2

(c) 3

(d) 4