A student determined Young's modulus of elasticity using the formula \Y={\M \g \L^{3}}/{4 \b \d^{3} \\delta}. The value of g is taken to be 9.8 {\m} \/ {\s}^{2}, without any significant error, his observations are as following. Physical quantity Least count of the equipment used for measurement Observed value Mass (M) 1 g 2 kg Length of bar (L) 1mm 1m Breadth of bar (b) 0.1 mm 4 cm Thickness of bar (d) 0.01 mm 0.4 cm Depression (δ) 0.01 mm 5 mm Then, the fractional error in the measurement of Y is [1 Sep 2021 Shift 2]

Units and Measurements Part 1

Section: Physics

Question : 8 of 100

Marks: +1, -0

A student determined Young's modulus of elasticity using the formula Y=

MgL3

4bd3δ

.
The value of g is taken to be 9.8m∕s2, without any significant error, his observations are as following.

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

Then, the fractional error in the measurement of Y is

[1 Sep 2021 Shift 2]

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