Question

A line spectrum in the hydrogen atom has a wavelength corresponding to 4.57×10.7m. What is the frequency of the energy associated with this transmission?

Answer 1

To find the frequency of the energy associated with a given wavelength, you can use the equation:

$v=\frac{c}{\lambda }$

Where:

• $v$ is the frequency of the energy (in hertz, Hz)
• $c$ is the speed of light in a vacuum (approximately $3.00\times 10^8$ m/s)
• $\lambda$ is the wavelength of the transmission (in meters)

Let's calculate the frequency using the given wavelength of 4.57×10.7 m:

$v=\frac{3.00\times 10^8\text{m/s}}{4.57\times 10^{-7}\text{m}}$

Calculating the expression above:

$v\approx 6.56\times 10^{14}\text{Hz}$

Therefore, the frequency of the energy associated with this transmission is approximately $6.56\times 10^{14}$ Hz.