Experimenters at the National Institute of Standards and Technology have made pr

Question

Experimenters at the National Institute of Standards and Technology have made precise measurements of the speed of light using the fact that, in vacuum, the speed of electromagnetic waves is c = 1/?(?0?0), where the constants ?0 = 4? ? 10-7 N Experimenters at the National Institute of Standards and Technology have made precise measurements of the speed of light using the fact that, in vacuum, the speed of electromagnetic waves is c = 1/?(?0?0), where the constants ?0 = 4? ? 10-7 N Experimenters at the National Institute of Standards and Technology have made precise measurements of the speed of light using the fact that, in vacuum, the speed of electromagnetic waves is c = 1/?(?0?0), where the constants ?0 = 4? ? 10-7 N ? s2/C2 and?0 = 8.854 10-12 C2/N ? m2. What value (to four significant figures) does this give for the speed of light in vacuum?

Explanation / Answer

You mean you don't know how to round off?
2.99792 to 4 digits is 2.998, NOT 2.997. The 5th digit being 5 or larger, causes the 4th digit to be incremented by 1.

C to various digits:
1: 3 e8 m/s
2: 3.0 e8 m/s
3: 3.00 e8 m/s
4: 2.998 e8 m/s
5: 2.9979 e8 m/s
6: 2.99792 e8 m/s
7: 2.997924 e8 m/s
8: 2.9979246 e8 m/s
9: 2.99792458 e8 m/s
10 and up: 2.99792458 e8 m/s
(there are no digits beyond the 10, that is the exact speed)

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