Calculate the photon capture radius and the Schwarzschild radius of M87*(in AU).
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answer is m87 au²³ i hope this is right
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Given:
Radius of M87*(in AU).
To Find:
The photon capture
Solution:
The Schwarzchild Radius is calculated as - 2GM/ c²
Calculating mass of the sun -
Mo = 2 × 10`30 kg
Mass of M87 = 7.2 × 10`9 Mo
Thus,
= 7.2 × 10`9 × 2 × 10^30
= 1.44 × 10`40 kg
Substituting in 2GM/ c²
= 2 × 6.67 × 10`-11 × 1.44 × 10`40 / 9 × 10`18
= 2.134 × 10`11 m
Converting to AU = 6.68 × 10`-12m ( By using 1m)
Rs = 2.134 × 10^11 × 6.68 × 10`-12
= 1.563 AU
Answer: The Schwarzchild Radius of M87 is 1.563 AU
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