Two rods \( A \) and \( B \) of identical dimensions are at temperature \( 30^{\circ} \mathrm{C}...

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Two rods \( A \) and \( B \) of identical dimensions are at temperature \( 30^{\circ} \mathrm{C} \). If \( A \) is heated upto \( 180^{\circ} \mathrm{C} \) and \( B \) upto \( T^{\circ} \mathrm{C} \), then new lengths are the same. If the ratio of the coefficients of linear expansion of \( A \) and \( B \) is \( 4: 3 \), then the value of \( T \) is
(a) \( 230^{\circ} \mathrm{C} \)
(b) \( 270^{\circ} \mathrm{C} \)
(c) \( 200^{\circ} \mathrm{C} \)
(d) \( 250^{\circ} \mathrm{C} \)
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