d) Missiles are fired towards the earth from a spacecraft. The missiles are moving with a speed of 0.8c with respect to the spacecraft. If the spacecraft itself has a speed of 0.3c with respect to Earth, how fast are the missiles observed to travel with respect to Earth
This problem involves relativistic velocity addition. The formula for adding velocities in special relativity is: \[ v' = \frac{v + u}{1 + \frac{vu}{c^2}} \] __________ _________ ________ _________ _________ ___ _________ ______ ______ _______.
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d) Calculate the commutator where the function
may be expanded as:
c) Obtain the ground state terms of Li and Si.
c) Identify whether the following particles are leptons, baryons or mesons:
b) Calculate the deBroglie wavelength of a atom that has been laser cooled to
(Assume that the kinetic energy is
a) A radioisotope P has a half-life of a given sample of this isotope contains 8000 atoms. Calculate (i) its decay constant, (ii) average life, (iii) the time
when 1000 atoms of the isotope P remain in the sample, and (iv) number of
decays per second in the sample at
a) Using Heisenberg’s uncertainty principle, estimate the energy and radius of the ground state of a hydrogen-like atom made of a proton and a muon. Assume that the
proton and the muon are bound by the Coulomb potentia The mass of the muon is
d) Obtain the average value of r of a hydrogen atom in its ground state.