Black holes in orbit around a normal star are detected from the earth due to the frictional heating of infalling gas into the black hole, which can reach temperatures greater than 106 K. Assuming that the infalling gas can be modelled as a blackbody radiator, then the wavelength of maximum power lies

Question

Black holes in orbit around a normal star are detected from the earth due to the frictional heating of infalling gas into the black hole, which can reach temperatures greater than 106 K. Assuming that the infalling gas can be modelled as a blackbody radiator, then the wavelength of maximum power lies (A) in the visible region (B) in the X-ray region (C) in the the microwave region (D) in the gamma-ray region of electromagnetic spectrum

Tardigrade Admin · Accepted Answer

λmT = 2.898 × 10-3 mK λm = (2.9×10-3/106) = 2.9×10-9 m = 2.9 nm. It lies in the X-ray region of the electromagnetic spectrum.

in the visible region

in the X-ray region

in the the microwave region

in the gamma-ray region of electromagnetic spectrum

λm​T=2.898×10−3mK λm​=1062.9×10−3​=2.9×10−9m=2.9nm. It lies in the X-ray region of the electromagnetic spectrum.

$λ_{m} T = 2.898 \times 1 0^{- 3} m K$
$λ_{m} = \frac{2.9 \times 1 0 ^{- 3}}{1 0 ^{6}} = 2.9 \times 1 0^{- 9} m = 2.9 nm .$
It lies in the $X$ -ray region of the electromagnetic spectrum.