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PHY2D_Quiz2

# PHY2D_Quiz2 - applied perpendicular to its direction of...

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QUIZ 2 PHYSICS 2D SPRING QUARTER 2009 Professor S.K.Sinha Formulas Relativistic Momentum p x = ! mu x ; similarly for y- and z-components ! = 1 1 " u 2 / c 2 Kinetic Energy K = ! mc 2 " mc 2 Total Energy E = ! mc 2 = K + mc 2 E 2 = p 2 c 2 + m 2 c 4 Particle of charge q moving in magnetic field B in circle of radius r has relativistic momentum p = qBr e = 1.6 x 10 ! 19 C m e = 9.1 x 10 ! 31 Kg = 0.511 MeV / c 2 c = 3 x 10 8 m / s 1 MeV = 1.6 x 10 ! 13 J 1 MeV / c 2 = 1.78 x 10 ! 30 Kg 1 MeV / c = 5.344 x 10 ! 22 Kg . m / s 1. An electron is accelerated from rest through a potential difference of 10 6 volts (1 Megavolt) from a metal cathode to a metal anode. (a) Find it’s speed at the anode (expressed as a fraction of the velocity of light c) (b) Obtain its momentum when it reaches the anode in units of MeV/c (c) If the electron is then subjected to a magnetic field B of 0.01 Tesla

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Unformatted text preview: applied perpendicular to its direction of motion and moves in a circular orbit in the plane perpendicular to the B field. Find the radius of the orbit. 15 pts. 2. -------------------------0 M 2 MeV/c A particle of mass M is traveling to the right as shown in the figure with momentum 2 MeV/c and decays into a particle of mass 1 MeV/c 2 which travels up at right angles to the path of the initial particle with momentum 0.5 MeV/c and a massless neutrino which travels downwards at an angle as shown. Calculate (a) the energy carried by the neutrino (b) the mass M of the original particle in MeV/c 2 10 pts...
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PHY2D_Quiz2 - applied perpendicular to its direction of...

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