Question

The frequency range of visible light is from 3.75 × 10¹⁴ Hz to 7.5 × 10¹⁴ Hz. Calculate its wavelength range. Take speed of light = 3 × 10⁸ m s^-1

Answer 1

Given,

Speed of light, c = 3 × 10⁸ m / s

Frequency range = 3.75 × 10¹⁴ Hz to 7.5 × 10¹⁴ Hz

Speed of light = frequency × wavelength

For frequency = 3.75 × 10¹⁴ Hz

λ = c / v

λ = (3 × 10⁸ m / s) / (3.75 × 10¹⁴ Hz)

λ = 8 × 10^-7

λ = 8000

For frequency = 7.5 × 10¹⁴ Hz

λ = c / v

λ = (3 × 10⁸ m / s) / (7.5 × 10¹⁴ Hz)

λ = 4 × 10^-7 m

λ = 4000

Therefore wavelength range is 4000to 8000