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A rectangular piece of iron measuring 4 cm by 3 cm a...

A rectangular piece of iron measuring 4 cm by 3 cm at 20oC is heated until its temperature increases by 100 C. Calculate the new area of the metal. [Linear expansivity of iron is 1.2x 105 K1]

A.

12.0144 cm3

B.

12.0346 cm3

C.

12.0288 cm3

D.

12.0173 cm3

Correct answer is C

Linear expansivity (α

= A2A1A1θ

Original Area(A1) = 4 x 3 = 12

New Area (A2) = ? 

Temp. rise (θ) = 100o

A2 - 12 = 1200 x 2 x 1.2 x 105 

A2 - 12 = 2880 x 105

A2 - 12 = 0.0288

A2 = 12.0288 cm2