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263samp11

# 263samp11 - Physics 263 Practice for Midterm 1(Literally a...

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Physics 263: Practice for Midterm 1. (Literally a GRE question—choose a letter, but also add a word or two of explanation.) In an inertial frame S, two events occur on the x-axis seperated in time by Δ t and in space by Δ x . In another inertial frame S 0 , moving in the x-direction relative to S, the two events could occur at the same time under which, if any, of the following conditions? (a) For any values of Δ x and Δ t (b) Only if | Δ x/ Δ t | < c (c) Only if | Δ x/ Δ t | > c (d) Only if | Δ x/ Δ t | = c (e) Under no condition 2. A particle of rest mass m has total energy E as it travels down the x axis. It decays in to a pair of photons, one of which continues down the + x axis, while the other goes in the opposite ( - x ) direction. (a) Find the energies E 1 and E 2 of the photons. (b) If we trade the input parameter E for the particle’s velocity v , ﬁnd the series expansion for E 1 and E 2 to linear order in v/c , i.e. dropping order v 2 /c 2 . 3. Consider the familiar situation: Alan stands on the ground while Beth is at middle of

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263samp11 - Physics 263 Practice for Midterm 1(Literally a...

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