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Q.

There is a thin plate ABCD with an elliptical hole as shown in the figure. The coefficient of linear expansion of the sheet is α.When the temperature of the plate is increased by T K, the area of the hole increases by an amount :-

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a

πℓbαT

b

2πℓbαT

c

3πℓbαT

d

Data insufficient.

answer is B.

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Detailed Solution

ΔA=πℓb(2α)T
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There is a thin plate ABCD with an elliptical hole as shown in the figure. The coefficient of linear expansion of the sheet is α.When the temperature of the plate is increased by T K, the area of the hole increases by an amount :-