BMAT 2012 Section 2 Question 15

The microwaves generated in a microwave oven travel through air at a speed of 3.0 x 10 8 m/s, with a wavelength of 12cm. They pass through plastic food containers, but at a reduced speed of 2.0 x 10 8 m/s. What are the wavelength and frequency of these microwaves as they pass through a plastic food container?

Answer:


We have been given the speed and wavelength of the microwave in air. When the microwave enter a plastic food container, the speed reduces.

By using the formula, c = ƒ x λ, we know speed is directly proportional to wavelength. If the speed decreases, the wavelength will also decrease. The only options which have a lower wavelength than 12 cm are A, B and C. Therefore the wavelength would be 8cm.

By using the formula, ƒ = c/λ, we can calculate the new frequency. We need to convert 8 cm to metres. 8 cm = 0.08 m

 ƒ = c/λ

ƒ = 2.0 x 108 / 0.08 = 2.5 x 109

Sami Qamar

I’m Sami Qamar. I’m a YouTuber, Blogger, and first year med student.

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