A metal sheet of area 100cm2 was heated through 70&d...
A metal sheet of area 100cm2 was heated through 70°C. Calculate its new area if the linear expansivity of the metal is 0.000017K−1.
100.06 cm2
100.12cm2
100.24cm2
100.36cm2
Correct answer is C
Formula: A2 = A1(1 + βθ)
where β = The area expansivity
θ = Change in temperature.
β = 2α
where α = linear expansivity of the body.
⇒ β = 2 x 0.000017
= 0.000034 K−1
∴ A_2 = 100 (1 + (0.000034 x 70))
= 100(1 + 0.00238)
= 100(1.00238)
= 100.238 cm^2
= 100.24 cm^2 (to 2 d.p)
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