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Question

A brass rod and lead rod each 80 cm long at 0C are clamped together at one end with their free ends coinciding. The separation of free ends of the rods if the system is placed in a steam bath is
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A
0.2 mm
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B
0.8 mm
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C
1.4 mm
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D
1.6 mm
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Solution

The correct option is A 0.8 mm
Increase in length of the brass rod=l0αbrassΔθ
Increase in length of lead rod=l0αleadΔθ
Thus separation of free ends of rods on expansion=l0(αleadαbrass)Δθ
Δθ=100C
Separation=0.8mm

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