Mathematics · Errors and Approximations
A student determined Young's Modulus of elasticity using the formula Y = MgL34bd3δ. The value of g is taken to be 9.8 m/s2 without any error. The observations are: Mass (M) = 2 kg (Least Count = 1 g), Length (L) = 1 m (Least Count = 1 mm), Breadth (b) = 4 cm (Least Count = 0.1 mm), Thickness (d) = 0.4 cm (Least Count = 0.01 mm), and Depression (δ) = 5 mm (Least Count = 0.01 mm). Find the fractional error in the measurement of Y.
- 10.1550
- 20.0083
- 30.0830
- 40.0155✓
Correct answer
0.0155
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