Solution:
We know that,
taking log,
now partially differentiating,
Hence the correct answer is
A student performs an experiment to determine the young’s modulus of a wire, exactly 2m long by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be 0.8mm with an uncertainty of 0.05mm at load of exactly 1.0kg. The student also measures the diameter of the wire to be 0.4mm with an uncertainty of 0.01mm . Take G = 9.8 m/s2 (exact) then Y=?
We know that,
taking log,
now partially differentiating,
Hence the correct answer is