Answer to Question #141678 in General Chemistry for brandon

Question

4. A photon of EMR has a frequency of 100,000,000,000,000 Hz. What is its: a) wavelength (in m and µm) b) its period and c) what type of wave is it?

Answer 1

$\begin{aligned} f &= 100,000,000,000,000\ Hz\\ &= 10^{14}\ Hz\\ c &= 3 × 10^8\ ms^{-1}\\ \end{aligned}$

a)

$\begin{aligned} \lambda &= ?\\ from, c &= \lambda f\\ \lambda &= \dfrac{c}{f}\\ \\ \lambda &= \dfrac{3 ×10^8}{1 × 10^{14}}\\ \\ \lambda &= 3 × 10^{-6} m\\ &= 3\mu m \end{aligned}$

b)

$\begin{aligned} T &= \dfrac{1}{f}\\ \\ T &= \dfrac{1}{1× 10^{14}}\\ \\ T &= 1 × 10^{-14}s = 10^{-14}s \end{aligned}$

c) The photon is a transverse electromagnetic wave.