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1.The vibration frequency for the molecule HF is 1.24 x 1014 Hz. The mass of a hydrogen atom is 1.67 x 10-27 kg, and the mass of a fluorine atom is 3.15 x 10-26 kg.
(a) What is the force constant k’ for the inter atomic force?
(b) What is the spacing between adjacent vibrational energy levels in joules and in electron volts?
(c) What is the wavelength of a photon of energy equal to the energy difference between two adjacent vibrational levels? In what region of the spectrum does it lie?
2.A lithium atom has mass 1.17 x 10-26kg, and a hydrogen atom has mass 1.67 x 10-27 kg. The equilibrium separation between the two nuclei in the LiH molecule is 0.159 nm.
(a) What is the difference in energy between the l = 3 and l = 4 rotational levels?
(b) What is the wavelength of the photon emitted in a transition from the l = 4 to the l = 3 level?
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3.When light of wavelength 370 nm falls on a barium surface, electrons having a maximum kinetic energy of 0.86 eV are emitted. Find values for the following.
(a) the work function of barium
(b) the cutoff wavelength
(c) the frequency corresponding to the cut off wavelength.
4.What is the kinetic energy of an electron with a wavelength equal to the diameter of a hydrogen atom (0.1 nm)?
5.A 2-kg block is initially at rest on a horizontal frictionless surface at x = O. A horizontal force of F = (2.5 – x2) i is applied to the block, where F is in N, and x is in meters. What is the kinetic energy of the block as it passes though x = 2 m?
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