An electromagnetic wave travelling in a vacuum has a frequency of 3 10¹³ Hz . What is the wavelength of this wave, and to which region of the electromagnetic spectrum does it belong?

Step-by-step solution

The relationship between the speed of light ( c ), frequency ( ), and wavelength ( ) is given by: c = Given: Frequency, = 3 10¹³ Hz Speed of light in vacuum, c = 3 10^8 m/s Rearranging the formula to solve for wavelength: = c = 3 10^8 3 10¹³ = 10⁻⁵ m According to the electromagnetic spectrum, the wavelength range from 10⁻³ m to 7 10⁻⁷ m corresponds to Infrared rays. Therefore, a wavelength of 10⁻⁵ m falls in the infrared region. Multiplying the values instead of dividing leads to the incorrect 9 10²¹ m , and confus