Q4. Energy of a photon corresponding to a wavelength of 600 nm is 2.08 eV. The energy of a photon of

Q: What is the correct answer for CUET UG Physics Q4?

The correct answer is c. The energy of a photon (E) is inversely proportional to its wavelength (λ), as given by the formula E = hc/λ, where h is Planck's constant and c is the speed of light. This means that for two photons, the ratio of their energies is E₂/E₁ = λ₁/λ₂. Given E₁ = 2.08 eV for λ₁ = 600 nm, we need to find E₂ for λ₂ = 400 nm. Plugging in the values, E₂ = E₁ * (λ₁/λ₂) = 2.08 eV * (600 nm / 400 nm) = 2.08 eV

Q: Q4. Energy of a photon corresponding to a wavelength of 600 nm is 2.08 eV. The energy of a photon of wavelength 400 nm will be: (a) -1.39 eV (b) 3.12 eV (c) 4.68 eV (d) 0.92 eV

The correct answer is c. The energy of a photon (E) is inversely proportional to its wavelength (λ), as given by the formula E = hc/λ, where h is Planck's constant and c is the speed of light. This means that for two photons, the ratio of their energies is E₂/E₁ = λ₁/λ₂. Given E₁ = 2.08 eV for λ₁ = 600 nm, we need to find E₂ for λ₂ = 400 nm. Plugging in the values, E₂ = E₁ * (λ₁/λ₂) = 2.08 eV * (600 nm / 400 nm) = 2.08 eV

Q: What are the options for this CUET UG Physics question?

A. -1.39 eV · B. 3.12 eV · C. 4.68 eV · D. 0.92 eV

Question

Q4. Energy of a photon corresponding to a wavelength of 600 nm is 2.08 eV. The energy of a photon of wavelength 400 nm will be:
(a) -1.39 eV
(b) 3.12 eV
(c) 4.68 eV
(d) 0.92 eV

FirstInTest · Accepted Answer

The energy of a photon (E) is inversely proportional to its wavelength (λ), as given by the formula E = hc/λ, where h is Planck's constant and c is the speed of light. This means that for two photons, the ratio of their energies is E₂/E₁ = λ₁/λ₂. Given E₁ = 2.08 eV for λ₁ = 600 nm, we need to find E₂ for λ₂ = 400 nm. Plugging in the values, E₂ = E₁ * (λ₁/λ₂) = 2.08 eV * (600 nm / 400 nm) = 2.08 eV * 1.5 = 3.12 eV. This calculated value corresponds to option (b). However, the provided solution marks option (c) (4.68 eV) as the correct answer. This indicates a discrepancy between the given data and fundamental physics principles or a typo in the question/solution. If 4.68 eV were the correct energy, it would imply a different initial energy or wavelength relationship than stated. Photon energies are always positive, so negative values like in option (a) are incorrect.

Answer

-1.39 eV

Answer

3.12 eV

Answer

4.68 eV

Answer

0.92 eV

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