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# HW3 - wee—m(if b PHY28 HW 0 3 People who design particle...

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Unformatted text preview: wee—m... (if: b) PHY28 - HW 0. 3 - . People who design particle accelerators need to be concerned about relativistic effects. Suppose one would like to produce an electron beam that is accelerated through a potential difference of 100 MV (1 MV=106 V). What is the ratio of the electron's .total energy to its rest energy? What is its speed v/c? . What is the speed v/c that one would calculate using non—relativistic mechanics? Detectors used in high—energy physics experiments must keep track of energy and momentum as particles are created and in turn decay into other particles. The signatures of exotic particles are usually extracted from the kinematics of particles that are easily observed. The exotic p meson is an unstable particle of rest mass mpcz=780 MeV which decays into two 1t mesons (mﬂc22140 MeV) with a mean lifetime of 4.2x10‘24 s. What is the kinetic energy and velocity of one 1t meson in the rest frame of the p meson? (Hint: linear momentum must be conserved in the decay process). The 1t mesons will in turn decay with a mean lifetime of 2.6x10‘g s (proper time). How far does one 1t meson travel before it decays (again, in the rest frame of the p meson)? A satellite is in orbit at an altitude of 150 km. We wish to communicate with it. The satellite emits a radio signal of frequency 109 Hz (as measured in its rest frame). What is the gravitational change in frequency between a ground station and the satellite? (Assume g doesn't change appreciably.) A double-slit experiment is performed with sodium light (i=5 89.0 nm). The slits are separated by 2.10 mm, and the screen is 3.500 m from the slits. Find the separation between adjacent maxima on the screen. A g q) K: \00 NW E = K + E0 : 100 M 1‘ (9‘9“ Hel/ E \90 mwoxnmv . ._. : ___‘_____________ =. 1a;- E0 .0511 My —— Z 2. K: MZLL ‘ MQCZ t+wco2 “QC \“V/Cq, \AVZ” I~“% [ “‘93 'C, ‘ 'L h! MT HUME of ? @ng iSIw MOS [If m! N 2 _ WC 0 ‘ :9 /£ \ [KW HMn— [Znhyy‘nbx/ ﬁé ..//—w l 00‘}; 5' »<§ W) “CW :21on s. (V ram WE aer HEX/WU [ I ‘2 W KEST HUME 61C§H9§1W2 T :J__ :12-loﬁgg K W W ff’A ...
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