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The microwave shoots particle waves called micro-waves (hence the name) and those invisible waves are sent from the microwave into the food (or other item in the microwave) and when those particle hit the food, they disturb the food particles, mostly the water in the food, and when particle are disturbed (moved) it generates heat. Therefore while the waves are hitting the food, it will get hotter and hotter.

This explains why when you put really frozen, large chunks of food like potatoes, it takes a while to warm up, because potatoes have a lot of water in them, it takes more micro-waves to heat it than an object with less.

Hope this helps!

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Q: How the energy conversion takes place in microwave oven?
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