What is the wavelength, in nanometers, of light with a frequency of 1.90x10^15 Hz?

1.58×10² nm

Explanation:

Given data:

Frequency of light = 1.90 ×10¹⁵ Hz

wavelength of light = ?

Solution:

Speed of light = wavelength  × Frequency

Speed of light = 3×10⁸ m/s

3×10⁸ m/s  = λ × 1.90 ×10¹⁵ Hz

 Hz = s⁻¹

λ =  3×10⁸ m/s / 1.90 ×10¹⁵s⁻¹

λ = 1.58×10⁻⁷ m

meter to nm:

1.58×10⁻⁷ m ×10⁹ nm/ 1m

1.58×10² nm