An ideal battery of emf $4 V$ and resistance $R$ are connected in series in the primary circuit of a potentiometer of length $1 m$ and resistance $5 \Omega$. The value of $R$, to give a potential difference of $5 m \mathrm {~V}$ across $10 c m$ of potentiometer wire, is:\\
(1) $480 \Omega$\\
(2) $495 \Omega$\\
(3) $395 \Omega$\\
(4) $490 \Omega$