Question

The frequency range of visible light is from 3.75x10¹⁴ Hz to 7.5x10¹⁴ Hz. Calculate its wavelength range. Take speed of light=3x10⁸ m/s.

Answer 1

we know that

c = νλ

or

wavelength

λ = c/ν

now,

in the first case

λ₁ = c/ν₁

here,

c = 3 x 10⁸ m/s

ν₁ = 3.75x10¹⁴ Hz

so,

λ₁ = 3 x 10⁸ / 3.75x10¹⁴ = 0.8 x 10^-6 m

.

and in the second case

λ₂ = c/ν₂

here,

c = 3 x 10⁸ m/s

ν₂ = 7.5x10¹⁴ Hz

so,

λ₂ = 3 x 10⁸ / 7.5x10¹⁴ = 0.4 x 10^-6 m

.

thus, the wavelength range will be

0.4 x 10^-6 m - 0.8 x 10^-6 m