Question

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.

Answer 1

λ = 0.029×10² m

f = 0.57×10¹⁷ s⁻¹

Step-by-step 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