Physics - Electrostatics Question with Solution | TestHub

From question, ${\mathrm{E}}_{\mathrm{x}}=5\mathrm{N}/\mathrm{kg}$ and ${\mathrm{E}}_{\mathrm{y}}=12\mathrm{N}/\mathrm{kg}$ Gravitational potential $=$ Gravitational field $\times$ distance $\therefore {\mathrm{V}}_{(12\mathrm{m},0)}={\mathrm{E}}_{\mathrm{x}}\times 12\mathrm{J}/\mathrm{kg}$ and ${\mathrm{V}}_{(0,5\mathrm{m})}={\mathrm{E}}_{\mathrm{y}}\times 5\mathrm{J}/\mathrm{kg}$ (Given : potential at the origin is zero) $$\therefore \frac{V_{(12\mathrm{m},0)}}{{\mathrm{V}}_{(0,5\mathrm{m})}}=\frac{{\mathrm{E}}_{\mathrm{x}}\times 12}{{\mathrm{E}}_{\mathrm{y}}\times 5}=\frac{5\times 12}{12\times 5}=1$$