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Q.

The co-efficient of thermal expansion of a rod is temperature dependent and is given by the formula α = aT, where a is a positive constant and T in °C. If the length of the rod is l at temperature 0°C, then the temperature at which the length will be 2l is:

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a

ln 2α

b

ln 4a

c

d

answer is B.

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Detailed Solution

As; dl = αl dT   ∴ ∫l2ldll = a∫0TT dTln 2 = aT22    ∴ T = [ln 4a]12
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