Mag. Field Particle Question with Givens. Check My Work???

Question

Question: the solar wind is a thin, hot gas given off by the sun. charged particles in this gas enter the magnetic field of the earth and can experience a magnetic force. suppose a charged particle traveling with a speed of 9.0e6 m/s encounters the earth's magnitude of 1.2e-7 T. assuming that the particle's velocity is perpendicular to the magnetic field at an altitude where the magnitude of 1.2e-7 T. assuming that the particle's velocity is perpendicular to magnetic field find the radius of...Find (a) an electron and (b) a proton

My Approach:

(a) electron
r = (9.11e-31)(9.0e6)/ (1.6e-19)(1.2e-7) = 427 m

(b) proton
r = (1.67e-27)(9.0e6)/ (1.6e-19)(1.2e-7) = 7.83e5 m

Book Answer: I don't have the answer to (a); however, for part (b) it is supposed to be 7.83e8 m. it's the reason why im posthing this question! appreciate the help

Answer 1

The radius of gyration is given by r=mv/(qB). Plugging in the numbers gives me exactly the same results as you got.

Answer 2

Massless gentle is trapped via a black hollow for the comparable reason that massive debris are trapped. Gravitational "stress" isn't the priority. the priority is that factor and area are so heavily warped interior the area surrounding a black hollow, that gentle, or the rest moving in as right away a line as achieveable, will nevertheless be curved lower back inward to the coronary heart of the black hollow. gentle does no longer prefer mass for this to take place. It follows a "right away" line with the aid of curved spacetime that often finally ends up on the comparable place - lower back interior the black hollow. This has little to do with the decay of Higgs bosons. They in fact final for decrease than a tiny fraction of a 2nd besides. on the different, gadgets with mass - imparted to them initially via Higgs bosons - can and do final for limitless a protracted time. they do no longer decay into organic means (except they're radioactive), besides the indisputable fact that they'd ultimately degenerate right into a state the place means can no longer be won from them simply by end results of the 2nd regulation of Thermodynamics. Mass can be switched over to means via nuclear reactions, yet that may no longer extremely the comparable element as "decay."