## F.Sc ICS Notes: Physics XII: Chapter 20 Atomic Spectra Numerical Problems

**Numerical Problem 20.1:****A hydrogen atom is in its ground state (n = 1). Using Bohr's theory, calculate (a) the radius of the orbit, (b) the linear momentum of the electron, (c) the angular momentum of the electron, (d) the kinetic energy, (e) the potential energy, and (f) the total energy.**

__What are the energies in eV of quanta of wavelength 400, 500 and 700 nm?__

**Numerical Problem 20.2:**__An electron jumps from a level Ei = -3.5 * 10(-19)J to Ef = -1.2 * 10(-18)J. What is the wavelength of the emitted light?__

**Numerical Problem 20.3:**__Find the wavelength of the spectral line corresponding to the transition in hydrogen from n = 6 state to n = 3 state.__

**Numerical Problem 20.4:**__Compute the shortest wavelength radiation in the Balmer series? What value of n must be used?__

**Numerical Problem 20.5:**__Calculate the longest wavelength of radiation for the Paschen series.__

**Numerical Problem 20.6:**__Electron in an x-ray tube are accelerated through a potential difference of 3000V. If these electrons were slowed down in a target, what will be the minimum wavelength of x-ray produce?__

**Numerical Problem 20.7:**__The wavelength of K-x-ray from copper is 1.377 * 10(-10) m. What is the energy difference between the two levels from which this transition results?__

**Numerical Problem 20.8:**__A tungsten target is struck by electrons that have been accelerated from rest through 40KV potential difference. Find the shortest wavelength of the bremsstrahlung radiation emitted?__

**Numerical Problem 20.9:**__The orbital electron of a hydrogen atom moves with a speed of 5.456 * 10(5) m/s, (a) find the value of the quantum number 'n' associated with this electron, (b) calculate the radius of this orbit, and (c) the energy of the electron in this orbit?__

**Numerical Problem 20.10:**
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