Carbon absorbs energy at a wavelength of 150. nm. The total amount of energy emitted by a carbon sample is J. Calculate the number of carbon atoms present in the sample, assuming that each atom emits one photon.

The given question is incomplete. The complete question is as follows.

Carbon absorbs energy at a wavelength of 150 nm. The total amount of energy emitted by a carbon sample is . Calculate the number of carbon atoms present in the sample, assuming that each atom emits one photon.

Explanation:

It is given that the energy at which C-atom absorbs energy is 150 nm. So, energy emitted by the carbon atom will have same wavelength at which C-atom absorbs the energy.

As we know that relation between energy and wavelength is as follows.

                  E =

where,  h = Planck's constant =

             c = speed of light =

              = 150 nm =

Therefore, energy of one carbon atom is calculated as follows.

                E =

                  =

                 =

As the total energy emitted by the carbon sample is  . Let us assume that the number of C-atoms in the sample be x and it is calculated as follows.

                     n =

                        =

                        =

Thus, we can conclude that number of carbon atoms present in the sample, are .

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