A microwave oven produces electromagnetic waves with a...

A microwave oven produces electromagnetic waves with a frequency of 3.5 GHz. What is the wavelength of these microwaves? m What is the energy of one photon of this EM radiation? J If the power is 253 W, how many photons does the microwave emit during 6.19 hours of operation? photons

Transcript

00:01 Hello students in this question we are given a micro wave oven and the frequency at which it is operating is 2 .4 gigahertz and the power output is 650 watt.

00:17 So we have to find a wavelength of the microwave, the energy of one photo and the number of photon emitted per second.

00:24 So firstly we will find the energy of one photo and the number of photon emitted per second.

00:26 So firstly we will find the energy of the of one photon the energy of one photon will be equal to h multiplied with f so value of h is 6 .6 3 multiplied with 10 to the power minus 34 multiplied by the frequency which is 2 .4 multiplied with 10 to the power 9 hertz because it is giga here the energy will come out equals to 15.

01:04 9 1 multiplied by 10 to the power minus 25 joules so this is the energy of 1 photon now let us find the wavelength so we know that the here the speed of the microwave is equal to frequency multiplied by the wavelength so from here the wavelength will be speed of the microwave so it will be equals to the speed of light because it is is the electromagnetic wave so it will be 3 multiplied with 10 to the power 8 over the frequency which is 2 .4 multiplied with 10 to the power 9 so it comes out equals to 0.

01:48 It will be 0 .125 meter so this is the wavelength of the microwave and this above is the energy of one photon.

02:00 Now we have to find the number of photon released per second so for finding the number of of photons release per second number of photons per second will be equal to the power over the energy of one photon so it will be equals to 650 over 15 .91 multiplied with 10 to the power minus 25 so on calculating it it will come out equals to 4...

Question

A microwave oven produces electromagnetic waves with a frequency of 3.5 GHz. What is the wavelength of these microwaves? m What is the energy of one photon of this EM radiation? J If the power is 253 W, how many photons does the microwave emit during 6.19 hours of operation? photons

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