The following measured values of the fundamental constants are reported: with an…

PHYSICS · Multi-part · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

The following measured values of the fundamental constants are reported: μ0=4π×10−7 H m−1\mu_0 = 4\pi \times 10^{-7}\,\text{H\,m}^{-1} with an uncertainty of ±0.5%\pm 0.5\%, and ε0=8.854×10−12 F m−1\varepsilon_0 = 8.854 \times 10^{-12}\,\text{F\,m}^{-1} with an uncertainty of ±0.2%\pm 0.2\%. (a) Calculate the numerical value of the speed of electromagnetic waves in vacuum using these data. (b) Determine the percentage uncertainty in the calculated speed. (c) The accepted value of the speed of light is 3.00×108 m s−13.00 \times 10^{8}\,\text{m\,s}^{-1}. Does your calculated value agree with the accepted value within the stated uncertainty? State Yes or No with one-line justification.

Related theory

Browse the problem library