Statement I: The expanded length l of a rod of original length `l_0` is not correctly given by (assuming `alpha` to be constant with T) `l=l_0(1+alphaDeltaT)` if `alphaDeltaT` is large.
Statement II: It is given by `l=l_0e^(alphaDeltaT)`, which cannot be treated as being approximately equal to `l=l_0(1+alphaDeltaT)` for large value a `DeltaT`.

Options

A. Statement I is true, Statement II is true and Statement II is the correct explanation for statement I.
B. Statement I is true, statement II is true and statement II NOT the correct explanation for Statement I
C. Statement I is true, Statement II is false.
D. Statement I is false, statement II is true.

Answer

A

Explanation

`alpha=(1)/(l)(dl)/(dT)`
`impliesalphaint_(T0)^(T)dT=int_(l0)^(l)(dl)/(l)`
`impliesl=l_0e^(alphaDeltaT)`