Microwave radiation has a wavelength on the order of 22 cm...

Microwave radiation has a wavelength on the order of 2.2 cm. Calculate the frequency and the energy of a single photon of this radiation. Frequency = s^-1 Energy = J Calculate the energy of an Avogadro’s number of photons (called an einstein) of this radiation. Energy = J

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Transcript

00:01 We know the relation between frequency and wavelength and that is new is equals to c divided by lambda.

00:07 So now putting the values.

00:09 So c is the speed of light.

00:11 So that is 3 multiplied 10 rest power rate meter per second divided by lambda.

00:18 So that is wavelength and given 2 .2 centimeter.

00:24 Now this is meter per second.

00:26 This is centimeter.

00:27 So we have to convert this into meter.

00:29 So this will be 2 .2 multiplying 10 rest power minus 2 meter.

00:40 So solving this we will get new is equals to 1 .36 multiplying 10 rest power 10.

00:55 So this will be second inverse or we should say inhertz 1 .36.

01:09 X multiplied 10 r s to power 10 hertz since we know that 1 hertz is equals to 1 second inverse in the given question we have asked to solve the frequency in second inverse only so that's why there is no need to calculate it into hertz okay so now we can calculate the energy and that is through planck equation, planck theory says that the energy of radiation is directly proportional to the frequency of radiation and the energy radiation travels in the form of small energy packets.

01:52 These small energy packets are called photons.

01:55 So the equation is e is equals to n at new.

02:02 So here n is the number of photons.

02:06 So as given for single photon, n is one.

02:10 Okay...

Question

Microwave radiation has a wavelength on the order of 2.2 cm. Calculate the frequency and the energy of a single photon of this radiation. Frequency = s^-1 Energy = J Calculate the energy of an Avogadro’s number of photons (called an einstein) of this radiation. Energy = J

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