What is Matter

March 17, 2026Physics

ScanSolve AI Answer

March 17, 2026

Answer

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

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
$\frac{1}{299792458}$
second (s), where the speed of light $c$ in vacuum is fixed at $299792458 \, \text{m/s}$ .

Step 2: Formula for the meter.
$1 \, m = \frac{c \cdot 1 \, s}{299792458}$
Substitute $c = 299792458 \, \text{m/s}$ :
$1 \, m = \frac{299792458 \, m/s \cdot 1 \, s}{299792458} = 1 \, m$

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

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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.

Asked on March 17, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on March 17, 2026

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