Question

two rods one aluminum and one brass are is clamped at one end. At zero degrees celsius, the roads are each 50 cm long and separated by 0.024 CM at their unfastened ends. At what temperature will the rod just come into contact.

Answer 1

At 11.3°C the rod will just come into contact

Coefficient of linear expansion of aluminium $\alpha_{Al}$ = $23*10^-^6$ °$C$

Coefficient of linear expansion of Brass $\alpha_{B} =19*10^-^6$ °$C$

$\alpha = \Delta{L}/Lo(T2-T1)$

For aluminium

$\alpha_{Al} = \Delta{L}/Lo(T-0)$

$\Delta{L_{1}} = (23*10^-^6*50*T)$

For Brass

$\alphaB = \Delta{L_{2}/Lo(T-0)$

$\Delta{L_{1} +\Delta{L_{2} =0.024cm(23*10^-^6*50*T)+(19*10-6*50*T) =0.024$

T =11.43 °C

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