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The energy of a linear harmonic oscillator in third excited state is 0.1 eV. Then what is the frequency of vibration.
- a)3.30 x 1014 Hz
- b)33.0 x 1014 Hz
- c)6.895×10^12 hz
- d)33.04x1015 Hz
Correct answer is option 'C'. Can you explain this answer?
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The energy of a linear harmonic oscillator in third excited state is 0...
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The energy of a linear harmonic oscillator in third excited state is 0...
To solve this problem, we can use the equation for the energy of a harmonic oscillator:
E = (n + 1/2) * h * ν
where E is the energy, n is the quantum number of the state (in this case, n = 3), h is Planck's constant (h ≈ 4.1357 x 10^(-15) eV·s), and ν is the frequency of vibration.
Rearranging the equation, we can solve for the frequency:
ν = E / [(n + 1/2) * h]
Plugging in the given values:
ν = 0.1 eV / [(3 + 1/2) * (4.1357 x 10^(-15) eV·s)]
ν ≈ 3.30 x 10^14 Hz
Therefore, the frequency of vibration is approximately 3.30 x 10^14 Hz. Answer choice (a) is correct.
E = (n + 1/2) * h * ν
where E is the energy, n is the quantum number of the state (in this case, n = 3), h is Planck's constant (h ≈ 4.1357 x 10^(-15) eV·s), and ν is the frequency of vibration.
Rearranging the equation, we can solve for the frequency:
ν = E / [(n + 1/2) * h]
Plugging in the given values:
ν = 0.1 eV / [(3 + 1/2) * (4.1357 x 10^(-15) eV·s)]
ν ≈ 3.30 x 10^14 Hz
Therefore, the frequency of vibration is approximately 3.30 x 10^14 Hz. Answer choice (a) is correct.
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The energy of a linear harmonic oscillator in third excited state is 0.1 eV. Then what is the frequency of vibration.a)3.30 x 1014 Hzb)33.0 x 1014 Hzc)6.895×10^12 hzd)33.04x1015 HzCorrect answer is option 'C'. Can you explain this answer?
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