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Q.

The coefficient of linear expansion for a certain metal varies with temperature as α(T ) . If L0 is the initial length of the metal and the temperature of metal changed from T0 to T(T0 > T) then,

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a

L=L0∫I0T α(T)dT

b

L=L01+∫T0T α(T)dT

c

L=L01−∫T0T α(T)dT

d

L>L0

answer is C.

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Detailed Solution

dLL0=−a(T)dt;  Integrate the equation
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The coefficient of linear expansion for a certain metal varies with temperature as α(T ) . If L0 is the initial length of the metal and the temperature of metal changed from T0 to T(T0 > T) then,