X-ray pulses are emitted when a clump of ionized matter orbits a black hole with a...
X-ray pulses are emitted when a clump of ionized matter orbits a black hole with a period of 3.2 s. If the clump is in circular orbit, and the mass of the black hole is 23MSun, what is the orbital radius (in m)?
____ m
Homework Answers
Here ,
let the radius is r
Time period, T = 3.2 s
as T^2/r^2 = 4pi^2/(G * M)
3.2^2/r^3 = 4pi^2/(6.673 *10^-11 * 23 * 2 *10^30)
solving for r
r = 9.26 *10^6 m
the radius of orbit is 9.26 *106 m
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