A harmonic oscillator has an angular frequency w = 2.289 x1015 Hz. What is the longest wavelength of light in nm that can cause a transition to a different quantum state in this oscillator?
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- An electric current through hydrogen gas produces several spectral lines from the transitions to n = 2, called the Balmer series. The four most visible ones are at 410.2 nm, 434.0 nm, 486.1 nm, and 656.3 nm. Assume you are observing these lines with a diffraction grating of 5870 lines per centimeter. a) What is the angle (in degrees) of the second-order maximum for the 410.2 nm line? b) What is the angle (in degress) of the second-order maximum for the 434.0 nm line? c) What is the angle (in degrees) of the second-order maximum for the 486.1 nm line? d) What is the angle (in degrees) of the second-order maximum for the 656.3 nm line?A photographic film is coated with a silver bromide layer. When light falls on this film, silver bromide molecules dissociate and the film records the light there. A minimum of 0.6 eV is needed to dissociate a silver bromide molecule. Find the maximum wavelength of light that can be recorded by the film.How much energy is carried by light with a wavelength of λ = 509 nm? Express your answer in eV (electron-volts).
- The characteristic K, and K, lines for titanium have wavelengths of 0.275 nm and 0.251 nm, respectively. What is the ratio of the energy difference between the levels in titanium involved in the production of these two lines? AEThe wavelength of the emitted photon from the hydrogen molecule H2 is 2.30 μm (micrometers) when the vibrational quantum number decreases by one. What is the effective "spring constant" for the H2 molecule in N/m ?What is the "zero point" energy (in eV) of the molecular vibration?An electron has a wavelength of 400 nm (the same as blue light). A. What is the electron’s momentum? B. What’s the minimum uncertainty in the electron’s position if its uncertainty in its momentum is 10-28 kg m/s? Compare this value to its wavelength.