Answer
422.1k+ views
Hint:. The answer to this question is based on the concept of energy of photon where it is inversely proportional to wavelength which is given by the formula$E=\dfrac{hc}{\lambda }$
Complete step by step answer:
Photon energy basically refers to the energy carried by a single photon. We have come across this concept in radiation chemistry and also in physics as well.
- Photon energy can be expressed in any form of unit of energy like eV or joules etc.
- According to the concept of photon energy, the energy of a photon is inversely proportional to the wavelength of photon and is directly proportional to the electromagnetic radiation of the photons.
- Therefore, higher the frequency of the photon, higher will be the energy of the photon. Also longer the wavelength of the photon, lower will be the energy of the photon.
- Based on these facts we can write an equation of the energy of photon as,
$E=\dfrac{hc}{\lambda }$ ……..(1)
where e is the energy of photon
h is the constant called as Planck’s constant which has the value $6.626\times {{10}^{-34}}Js$
c is the velocity of light which is a constant and has value $3\times {{10}^{8}}m/s$
and $\lambda $ is the wavelength of photon
Thus , if we denote number of photons emitted by the green and red bulb as ${{n}_{g}}$ and ${{n}_{r}}$ respectively then according to equation (1),
$\dfrac{{{n}_{g}}(hc)}{{{\lambda }_{g}}}=\dfrac{{{n}_{r}}(hc)}{{{\lambda }_{r}}}$
\[\Rightarrow {{n}_{g}}=\dfrac{{{\lambda }_{g}}\times {{n}_{r}}}{{{\lambda }_{r}}}\]
Since, ${{\lambda }_{g}}<{{\lambda }_{r}}$ according to absorption spectrum, we have ${{n}_{g}}<{{n}_{r}}$
So, the correct answer is “Option B”.
Note: Important point to be noted is that the photon energy and De-Broglie wavelength have similar formulas where $\lambda =\dfrac{h}{mv}$ for De-Broglie wavelength and for photon energy it is $\lambda =\dfrac{hc}{E}$. Thus, careful observation leads to correct answers.
Complete step by step answer:
Photon energy basically refers to the energy carried by a single photon. We have come across this concept in radiation chemistry and also in physics as well.
- Photon energy can be expressed in any form of unit of energy like eV or joules etc.
- According to the concept of photon energy, the energy of a photon is inversely proportional to the wavelength of photon and is directly proportional to the electromagnetic radiation of the photons.
- Therefore, higher the frequency of the photon, higher will be the energy of the photon. Also longer the wavelength of the photon, lower will be the energy of the photon.
- Based on these facts we can write an equation of the energy of photon as,
$E=\dfrac{hc}{\lambda }$ ……..(1)
where e is the energy of photon
h is the constant called as Planck’s constant which has the value $6.626\times {{10}^{-34}}Js$
c is the velocity of light which is a constant and has value $3\times {{10}^{8}}m/s$
and $\lambda $ is the wavelength of photon
Thus , if we denote number of photons emitted by the green and red bulb as ${{n}_{g}}$ and ${{n}_{r}}$ respectively then according to equation (1),
$\dfrac{{{n}_{g}}(hc)}{{{\lambda }_{g}}}=\dfrac{{{n}_{r}}(hc)}{{{\lambda }_{r}}}$
\[\Rightarrow {{n}_{g}}=\dfrac{{{\lambda }_{g}}\times {{n}_{r}}}{{{\lambda }_{r}}}\]
Since, ${{\lambda }_{g}}<{{\lambda }_{r}}$ according to absorption spectrum, we have ${{n}_{g}}<{{n}_{r}}$
So, the correct answer is “Option B”.
Note: Important point to be noted is that the photon energy and De-Broglie wavelength have similar formulas where $\lambda =\dfrac{h}{mv}$ for De-Broglie wavelength and for photon energy it is $\lambda =\dfrac{hc}{E}$. Thus, careful observation leads to correct answers.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science 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)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 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)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![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)
How do you graph the function fx 4x class 9 maths 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)