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Step 1: Calculate the change in temperature.
ΔT = Final temperature - Initial temperature = 100°C - 30°C = 70°C
Step 2: Calculate the change in length for the first rod.
ΔL1 = L1 * α1 * ΔT = 60 cm * (24 × 10-6 °C-1) * 70°C = 0.1008 cm
Step 3: Calculate the change in length for the second rod.
ΔL2 = L2 * α2 * ΔT = 60 cm * (1.2 × 10-5 °C-1) * 70°C = 0.0504 cm
Step 4: Calculate the total change in length.
ΔLtotal = ΔL1 + ΔL2 = 0.1008 cm + 0.0504 cm = 0.1512 cm
Step 5: Calculate the final length.
Final Length = Initial Length + Total Change in Length = (60 cm + 60 cm) + 0.1512 cm = 120 cm + 0.1512 cm = 120.1512 cm
Correct Answer: 120.1512