A student determined Young's Modulus of elasticity using the formula . 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 ()
0.01 mm
5 mm
Then the fractional error in the measurement of Y is :