Question

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

Answer 1

Answer:

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.