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If the energies of the two photons are in the ratio of 3 : 2, their wavelength will be the ratio of
- a)9:4
- b)2:3
- c)1:2
- d)3:2
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If the energies of the two photons are in the ratio of 3 : 2, their wa...
The energy emitted or absorbed by a black body is discontinuous in the form of small packets of energy called quantum.In case of light, this quantum is called photon.The energy of radiation is directly proportional to frequency(v).
So the energy is given by: E=h\v ---->(1)
Also, v =c/λ
Given,the energies of two photons are in the ratio 3 : 2, their wavelengths will be in the ratio of 2 : 3,because according to Planck’s quantum theory
So, λ1 : λ2 = 2:3
Hence option (2) is correct.
So the energy is given by: E=h\v ---->(1)
Also, v =c/λ
Given,the energies of two photons are in the ratio 3 : 2, their wavelengths will be in the ratio of 2 : 3,because according to Planck’s quantum theory
So, λ1 : λ2 = 2:3
Hence option (2) is correct.
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If the energies of the two photons are in the ratio of 3 : 2, their wa...
Explanation:
Energy of a photon:
- The energy of a photon is directly proportional to its frequency, which can be related to wavelength through the equation E = hc/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.
Given:
- Let the energies of the two photons be E1 and E2, with E1/E2 = 3/2.
- Using the energy-wavelength relationship, we have E1/E2 = (hc/λ1)/(hc/λ2) = λ2/λ1 = 3/2.
Ratio of wavelengths:
- Therefore, the ratio of the wavelengths of the two photons is 3:2.
Answer:
- The correct answer is option B) 2:3, as the ratio of the wavelengths of the two photons is 3:2.
Energy of a photon:
- The energy of a photon is directly proportional to its frequency, which can be related to wavelength through the equation E = hc/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.
Given:
- Let the energies of the two photons be E1 and E2, with E1/E2 = 3/2.
- Using the energy-wavelength relationship, we have E1/E2 = (hc/λ1)/(hc/λ2) = λ2/λ1 = 3/2.
Ratio of wavelengths:
- Therefore, the ratio of the wavelengths of the two photons is 3:2.
Answer:
- The correct answer is option B) 2:3, as the ratio of the wavelengths of the two photons is 3:2.
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