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Q.

Each side of a box is made of metal sheet in cubic shape ‘a’ at room temperature ‘T’, the coefficient of linear expansion of the metal sheet is ‘ α’. The metal sheet is heated uniformly, by a small temperature ΔT, so that its new temperature is T+ΔT. Then increase in the area of the metal box is

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a

12a2αΔT  

b

8a2αΔT  

c

4a2αΔT  

d

2a2αΔT  

answer is A.

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Detailed Solution

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ΔA=AβΔT   ,    ΔA=6a22αΔT=12a2αΔT  

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