A circular copper ring at \(30^{\circ} \mathrm{C}\) has a hole with an area of \(9.98 \mathrm{~cm}^2\). It is made to slip onto a steel rod of crosssectional area of \(10 \mathrm{~cm}^2\), by raising the temperature of both ring and rod simultaneously by an amount \(\Delta \mathrm{T}\). If the coefficient of linear expansion of copper and steel are \(17 \times 10^{-6} /{ }^{\circ} \mathrm{C}\) and \(11 \times 10^{-6} /{ }^{\circ} \mathrm{C}\), then minimum value of \(\Delta \mathrm{T}\) should be

1. A \(167.6^{\circ} \mathrm{C}\)
2. B \(133.3{ }^{\circ} \mathrm{C}\)
3. C \(83.3{ }^{\circ} \mathrm{C}\)
4. D \(249.9^{\circ} \mathrm{C}\)