Step 1: Official definition of the meter (SI unit of length). The meter (symbol: m) is defined as the distance traveled by light in vacuum during a time interval of 1/299792458 second (s), where the speed of light c in vacuum is fixed at 299792458 m/s. Step 2: Formula for the meter. 1 m = c · 1 s299792458; Substitute c = 299792458 m/s: 1 m = 299792458 m/s · 1 s299792458 = 1 m; 1 m = 1/299792458 s × c

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What is Matter

March 17, 2026Physics

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1 \, \text{m} = \dfrac{1}{299792458} \text{ s} \times c

Step-by-step solution

2 steps

Official definition of the meter (SI unit of length).
The meter (symbol: m) is defined as the distance traveled by light in vacuum during a time interval of
$\frac{1}{299792458}$
second (s), where the speed of light $c$ in vacuum is fixed at $299792458 \, \text{m/s}$ .
Formula for the meter.
$1 \, \text{m} = \frac{c \cdot 1 \, \text{s}}{299792458}$
Substitute $c = 299792458 \, \text{m/s}$ :
$1 \, \text{m} = \frac{299792458 \, \text{m/s} \cdot 1 \, \text{s}}{299792458} = 1 \, \text{m}$
$\boxed{1 \, \text{m} = \dfrac{1}{299792458} \text{ s} \times c}$

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What is Matter

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Step-by-step solution

Official definition of the meter (SI unit of length).

Formula for the meter.

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