What is the wavelength of radiation that has a frequency of 3.4 x 10¹¹ s ^-1 A) 8.8 x 10^-4 nm B) 8.8 x 10⁵ nm C) 8.8 x 10^-13 nm D) 1.0 x 10¹¹ nm E) 1.0 x 10^-9 nm

Question

Quizplus · Accepted Answer

The wavelength (λ) of radiation can be calculated using the formula: λ = c/f, where c is the speed of light (3x10^8 m/s) and f is the frequency of radiation. 
Substituting the given values, 
λ = (3x10^8 m/s)/(3.4x10^15 s^-1) 
λ = 8.8x10^-8 m 
Converting to nm, 
λ = 8.8x10^-8 m x (10^9 nm/1 m) 
λ = 8.8x10^1 nm 
Thus, the wavelength of radiation is 8.8x10^1 nm or 8.8x10^15 nm. The closest option is therefore, option B, which gives the answer as 8.8 x 10^15 nm.

What Is the Wavelength of Radiation That Has a Frequency