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A microwave oven is powered by an electron tube called a magnetronthat generates

ID: 1748292 • Letter: A

Question

A microwave oven is powered by an electron tube called a magnetronthat generates electromagnetic waves of frequency 2.30 GHz. The microwaves enter the oven and arereflected by the walls. The standing wave pattern produced in theoven can cook food unevenly, with hot spots in the food atantinodes and cool spots at nodes, so a turntable is often used torotate the food and distribute the energy. If a microwave oven isused with a cooking dish in a fixed position, the antinodes canappear as burn marks on foods such as carrot strips or cheese. Theseparation distance between the burns is measured to be6.00 cm. Calculate the speed of themicrowaves from these data.
1 m/s

Explanation / Answer

frequency of electromagnetic waves f = 2.30 GHz = 2.30 * 10^9Hz The separation distance between the burns is measured to be d= 6.00 cm = 6.00 * 10^-2 m the speed of the microwaves is v = f * d = 2.30 * 10^9 * 6.00 * 10^-2 = 13.8 * 10^7 m/s
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