The variation of lengths of two moles rods `A` and `B` with change in temperature is shown in figure . The ratio of `(alpha_(a))/(alpha_(B))` is :-

Options

A. `(3)/(2)`
B. `(2)/(3)`
C. `(4)/(3)`
D. `(3)/(4)`

Answer

B

Explanation

` l= l_(0) (1+alphaDeltaT) implies l-l_(0) = l_(0)alphaDeltaT`
`implies (l_(0)alpha_(A)DeltaT)/(l_(0)alpha_(B)DeltaT) = (104-100)/(106-100) = (4)/(6) implies (alpha_(A))/(alpha_(B)) = (2)/(3)`