Question

An electromagnetic wave has a frequency of 8.2 x 10¹⁴ Hz. What is the wavelength of the wave?

Answer 1

Step-by-step explanation:

Given parameters:-

• Frequency of EMW is - 8.2 x 10¹⁴ Hz

To find:-

• Wavelength(
  `\lambda`)?

Solution:-

Here , we are provided frequency of electromagnetic wave and we have to find the wavelength of the wave. To find the wavelength we have to divide the speed of light by given frequency. therefore,

`\tt\red{wavelength( \lambda)= (speed(c))/(frequency(f))}`

`\rightarrow \sf \: \lambda = \frac{3 * {10}^(8) }{8.2 * {10}^(14) } \\ \\ \rightarrow \sf \: \lambda = \frac{3 * {10}^(8) * {10}^( - 14) }{8.2} \\ \\ \rightarrow \sf \: \lambda = 0.36 * {10}^(6) \\ \\ \rightarrow \sf \: \lambda = 36 * {10}^(4)m`