PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Chapter 7, Problem 74P
To determine
The rate of mass gain by black hole.
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Stephen Hawking has predicted the temperature of a black hole of mass M to be T = hc3/8πkGM, where k is Boltzmann’s constant. (a) Calculate the temperature of a black hole with the mass of the sun. Discuss the implications of the temperature you calculate. (b) Find the temperature of a supermassive black hole, which may exist at the center of some galaxies, with a mass 6.0x 109 times the sun’s mass
J 6
If someone ciuld show me what to do here id be greatful
(a) For a black body, the temperature and the wavelength of emission maximum, Amax, are related
AT=
T = ( 1 ) ²₂
by Wien's law,
, where c₂ = hc/k.
(i) Write a simplified Wien's law expression in a form of an equation of straight line, (i.e., y
= mx + c).
(ii) Identify an independent variable and the slope/gradient from (i) above.
(iii) Values of Amax from a small pinhole in an electrically heated container were determined
at a series of temperatures, and the results are given below. Draw a graph and deduce
a value for Planck's constant.
T(°C)
1000
Amax(nm) 2181
1500
1600
2000
1240
2500
1035
3000
878
3500
763
Chapter 7 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10P
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