Units And Measurements

A student determined Young's Modulus of elasticity using the formula \(Y = {{Mg{L^3}} \over {4b{d^3}\delta }}\). The value of g is taken to be 9.8 m/s², without any significant error, his observation are as following.


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Physical Quantity	Least count of the Equipment used for measurement	Observed value
Mass (M)	1 g	2 kg
Length of bar (L)	1 mm	1 m
Breadth of bar (b)	0.1 mm	4 cm
Thickness of bar (d)	0.01 mm	0.4 cm
Depression (\(\delta\))	0.01 mm	5 mm

Then the fractional error in the measurement of Y is :