Question

If light travels at 3 · 108 m/s and its frequency is 6 · 1015 Hz, then its wavelength is:


10 · 107 m
5 · 10-8 m
5 · 10-7 m
10 · 10-7 m

Answer 1

Answer on Question #59289, Physics / Mechanics | Relativity |

If light travels at $3\cdot 10^{8}\mathrm{m/s}$ and its frequency is $6\cdot 10^{15}\mathrm{Hz}$, then its wavelength is:

$$\begin{array}{l} 10 \cdot 10^{7} \mathrm{m} \\ 5 \cdot 10^{-8} \mathrm{m} \\ 5 \cdot 10^{-7} \mathrm{m} \\ 10 \cdot 10^{-7} \mathrm{m} \\ \end{array}$$

Solution:

$$Speed = Wavelength \cdot Frequency$$

The above equation is known as the wave equation. It states the mathematical relationship between the speed (v) of a wave and its wavelength $(\lambda)$ and frequency (f).

Using the symbols $v, \lambda,$ and $f$, the equation can be rewritten as

$$v = f \cdot \lambda$$

Hence,

$$\lambda = \frac{v}{f} = \frac{3 \cdot 10^{8}}{6 \cdot 10^{15}} = 5 \cdot 10^{-8} \mathrm{m}$$

Output: $5 \cdot 10^{-8} \mathrm{m}$

https://www.AssignmentExpert.com