Due to cold weather a \(1 m\) water pipe of crosssectional area \(1 cm ^2\) is filled with ice at \(-10{ }^{\circ} C\). …

Due to cold weather a \(1 m\) water pipe of crosssectional area \(1 cm ^2\) is filled with ice at \(-10{ }^{\circ} C\). Resistance heating is used to melt the ice. Current of \(0.5 A\) is passed through \(4 k \Omega\) resistance. Assuming that all the heat produced is used for melting, what is the minimum time required?(Given latent heat of fusion ice \(=3.33 \times 10^5 J kg ^{-1}\), specific heat of ice \(=2 \times 10^3 J kg ^{-1}\) and density of ice \(\left.=10^3 kg / m ^3\right)\)

[JEE Main 2021, 1 Sep (Shift 2)]