A gamma-ray telescope intercepts a pulse of gamma

Chapter , Problem 34

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A gamma-ray telescope intercepts a pulse of gamma radiation from a magnetar, a type of star with a spectacularly large magnetic fi eld. The pulse lasts 0.24 s and delivers 8.4 3 1026 J of energy perpendicularly to the 75-m2 surface area of the telescopes detector. The magnetar is thought to be 4.5 3 1020 m (about 50 000 light-years) from earth, and to have a radius of 9.0 3 103 m. Find the magnitude of the rms magnetic fi eld of the gamma-ray pulse at the surface of the magnetar, assuming that the pulse radiates uniformly outward in all directions.

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