A microwave oven is powered by an electron tube called a magnetron that generate

Question

A microwave oven is powered by an electron tube called a magnetron that generates electromagnetic waves of frequency 2.30 GHz. The microwaves enter the oven and are reflected by the walls. The standing wave pattern produced in the oven can cook food unevenly, with hot spots in the food at antinodes and cool spots at nodes, so a turntable is often used to rotate the food and distribute the energy. If a microwave oven is used with a cooking dish in a fixed position, the antinodes can appear as burn marks on foods such as carrot strips or cheese. The separation distance between the burns is measured to be 6.50 cm. Calculate the speed of the microwaves from these data.
m/s

Explanation / Answer

The burn marks will appear every ?/2 cm, so double the distance to get ?: v = ?f = 2df = 2(5.90E-2 cm)(2.30E9 Hz)) = 27.1E7 m/s = 2.71E8 m/s

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