What is the main source of error in the elongation method Wh

What is the main source of error in the elongation method? What is the main source of error in the oscillation method?

Solution

If we are measuring Young\'s modulus by elongation method , the formula to determine Young\'s Modulus of a bar is

Y=[mgL^3/(4bd^3)]*x

so we can see that any error in measuring \'d\' and \'L\' will attract the the error of power 3. So main source of error for this experiment is (length of the bar, L) and (depth of the bar, d)

Main source of the error in oscillation method (if we are finding rigidity of modulus of a wire by dynamical method) is measuring the radius of the cylinder, as it is fourth power in the relation. Any error measuring the radius will contribute the error to its fourth power.