Calculate the wavelength of a radio wave with a frequency of 102.7 x 10^6 s^-1 Determine the frequency of light whose wavelength is 5.267 nm.

λ = 0.029×10² m

f = 0.57×10¹⁷ s⁻¹

Explanation:

Given data:

Wavelength of wave = ?

Frequency of wave = 102.7×10⁶ s⁻¹

Solution:

Formula:

Speed of wave = Wavelength  × Frequency

speed of wave = 3×10⁸ m/s

by putting values,

3×10⁸ m/s = λ × 102.7×10⁶ s⁻¹

λ = 3×10⁸ m/s /  102.7×10⁶ s⁻¹

λ = 0.029×10² m

2nd)

Given data:

Wavelength of wave = 5.267 nm (5.267×10⁻⁹ m)

Frequency of wave =  ?

Solution:

Formula:

Speed of wave = Wavelength  × Frequency

speed of wave = 3×10⁸ m/s

by putting values,

3×10⁸ m/s = 5.267×10⁻⁹ m × f

f = 3×10⁸ m/s /  5.267×10⁻⁹ m

f = 0.57×10¹⁷ s⁻¹