Two microwave frequencies are authorized for use in microwave ovens, 890 and 2500 MHz. Calculate the wavelength (in cm) of each.

34 cm and 12 cm

Explanation:

Wavelength: This can be defined as the distance in meter required to complete one circle.

The formula for the wavelength of a wave is given as,

λ = v/f ... Equation 1

Where λ = wavelength, v = velocity of a microwave, f = frequency.

For The first micro wave,

λ = v/f

Given: f = 890 MHz = 890000000 Hz = 8.9*10⁸ Hz

Constant: Note: All electromagnetic wave moves with same speed v = 3*10⁸ m/s.

Substitute into equation 1

λ = 3*10⁸/8.9*10⁸

λ = 0.34 m.

λ = 34 cm

For the second micro wave,

λ = v/f ... Equation 1

given: f = 2500*10⁶ Hz = 2.5*10⁹ Hz, v = 3*10⁸ m/s.

Also substitute into equation 1

λ = 3*10⁸ / (2.5*10⁹)

λ = 1.2*10⁻¹ m

λ = 12 cm.