First slide

Thermal expansion

Question

Brass plate at $30^{\circ} C$ and steel plate at $20^{\circ} C$ have equal area. $α$ of brass $= 18 \times 10^{- 6} /^{0} C, α$ of steel $= 12 \times 10^{- 6} /^{0} C$ . The common temperature at which both will have equal area is

Moderate

A

$0^{\circ} C$
B

$- {2.5}^{0} C$
C

$25^{\circ} C$
D

$50^{\circ} C$

Solution

$Δ A_{1} = Δ A_{2} β_{1} Δ t_{1} = β_{2} Δ t_{2}$

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