Answer
396.9k+ views
Hint: We can calculate the number of photons by the formula $E=nh\nu $, where E is the energy of the quanta, n is an integer, h is the Planck's constant, and $\nu $ is the frequency of the photons.
Complete answer:
We know that the active metal surface has free electrons on which light of suitable frequency falls; the free electron will jump from the ground state to the excited state. This method or this phenomenon is known as the Photometric effect. So, these electrons have some energy that is absorbed when it is excited or it is emitted when it returns back to the ground state. This energy was calculated by Max Plank in 1900 and gave his theory as Planck's quantum theory. This theory says that:
(i)- The energy will not be continuously absorbed or emitted but discontinuously in the form of small discrete packets of energy which is known as ‘quantum’ and in the case of light this is known as ‘photon’.
(ii)- So, the energy of the quantum is directly proportional to the frequency and it is written as:
$E\propto \nu $
$E=h\nu $
Where h is the Planck's constant.
(iii)- This total energy emitted or absorbed will always be in the whole number:
$E=nh\nu $
We know n is the number and frequency are calculated in $c{{m}^{-1}}$, so when we divide the energy of the photon or quantum then we get the number of photons or quantum per second. Its equation will be:
$\dfrac{E}{h}=n\nu $
Note:
This theory was used to explain both photometric effect and Black Body radiations. For calculation the value of Planck's constant is taken are either $6.626\text{ x 1}{{\text{0}}^{-27}}erg\text{ }\sec $ or $6.626\text{ x 1}{{\text{0}}^{-34}}joule\text{ sec}$.
Complete answer:
We know that the active metal surface has free electrons on which light of suitable frequency falls; the free electron will jump from the ground state to the excited state. This method or this phenomenon is known as the Photometric effect. So, these electrons have some energy that is absorbed when it is excited or it is emitted when it returns back to the ground state. This energy was calculated by Max Plank in 1900 and gave his theory as Planck's quantum theory. This theory says that:
(i)- The energy will not be continuously absorbed or emitted but discontinuously in the form of small discrete packets of energy which is known as ‘quantum’ and in the case of light this is known as ‘photon’.
(ii)- So, the energy of the quantum is directly proportional to the frequency and it is written as:
$E\propto \nu $
$E=h\nu $
Where h is the Planck's constant.
(iii)- This total energy emitted or absorbed will always be in the whole number:
$E=nh\nu $
We know n is the number and frequency are calculated in $c{{m}^{-1}}$, so when we divide the energy of the photon or quantum then we get the number of photons or quantum per second. Its equation will be:
$\dfrac{E}{h}=n\nu $
Note:
This theory was used to explain both photometric effect and Black Body radiations. For calculation the value of Planck's constant is taken are either $6.626\text{ x 1}{{\text{0}}^{-27}}erg\text{ }\sec $ or $6.626\text{ x 1}{{\text{0}}^{-34}}joule\text{ sec}$.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)