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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  0C. If the length of  the rod is l at temperature 00C,  then the temperature at which the length will be 2l is

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a

ln2a

b

ln4a

c

1a

d

2a

answer is B.

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Detailed Solution

dl = lαdTdll=aTdT ∫l2ldll=∫0ToaT.dT ln ll2l= aT220To ln 2= aTo22 To=ln 4a
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