38) If the 410 nm Balmer line of hydrogen is shifted to 600 nm calculate the redshift of the source
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- When the source is moving away from the observer the wavelength will appear longer than its actual value. This is known as redshift.
- Redshift from wavelength is calculated using the following formula,
Here λobs is the observed wavelength and λemit is the emitted wavelength.
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- (6) Suppose an atom of iron at rest emits an X-ray photon of energy 64 keV. Calculate the recoil momentum and kinetic energy for the atom. (You should look up mass for iron, and think about whether you need to use the relativistic kinetic energy for the atom or if the classical expression is good enough.)2. Show that for any observable Q, one can write d 11 ( 12/10) (Q) = 1/2 ([H1, Q]) + dt Ət2. Draw a Feynman diagram for each of the following reactions, provided it is allowed. If the reaction is forbidden explain why. μ → eveVμ τ' →μνμύτ Vμе- → Veft- Vμe+ → Vel+ Vμe+ → Vef+ Vμnμp VμP →μ+n eté → VμVμ ete- →T+T- e¯e → ee
- Watch Th X T Take Test X Answerec x momentu X joules to X Convert j X| frequenc x tps://learning.ulster.ac.uk/webapps/assessment/take/launch.jsp?course_assessment_id%=_88723_1&course_id3_324733 1&new_attem QUESTION 1 code: 002 Answer the following questions about the hydrogen atom e. v the energy of the ground state |the energy required for electron to jump from ground state to excited state, n=3 |the energy required to ionise an electron v the value in Joules of 1 electron-volt (eV) a. 13.6 eV b.3.4 eV C. 12.09 eV d. 13 6 eV e. -3.4 eV f -12.09 eV g. 1.6E-19J QUESTION 2 code: 003, A electron is in excited state n = 5. How many different ways can it return to the ground state? O a.8 O b.7 OC5 Od 4 Oe 3 QUESTION 32) We have discussed in the lectures that on the equator earth's magnetic field is approximately 50µT in strength and points northward. Suppose a proton from the sun manages to get through the van Allen belt and hits the magnetic field at a right angle with a speed of v= 150km/s. We have discussed in class that the particle will move on a circle path. a) What is the radius of this path? b) What is the synchrotron frequency?A nucleus traveling at speed vnucleus = c(1 - 10-5) decays with the emission of a particle of speed vdecay particle = c(1 - 2 x 10-4) at an angle of 45°, as shown in the diagram above. i) What is the velocity (speed and direction) of the decay particle on transforming to the stationary frame of reference of the nucleus. Clearly explain the quantities used in your evaluation, and show the directions and signs of quantities. Give the speed of the decay particle in the form c(1 - ?). ii) If the decay particle was an electron, what was its total energy in the rest frame of the nucleus? What was its total energy in the original frame shown in the above diagram?Give your answers in units of MeV.