A student performs an experiment to determine the Young's modulus of a wire, exactly`2m` long, by Searle's method. In a partcular reading, the student measures the extension in the length of the wire to be `0.8mm with an uncertainty of `+- 0.05mm` at a load of exactly `1.0kg`, the student also measures the diameter of the wire to be `04mm` with an uncertainty of `+-0.01mm`. Take `g=9.8m//s^(2)` (exact). the Young's modulus obtained from the reading is

Options

A. `(2.0 pm 0.3) xx 10^11 N//m^2`
B. `(2.0 pm 0.2) xx 10^11 N//m^2`
C. `(2.0 pm 0.1) xx 10^11 N//m^2`
D. `(2.0 pm 0.05) xx 10^11 N//m^2`

Answer

B