Answer:
2.95×10¹³ m
0.00311815 lightyears
Explanation:
m = 10¹⁰ times the mass of the sun
mass of the sun = 1.9891 × 10³⁰ kilograms
c = Speed of light = 3×10⁸ m/s
G = Gravitational constant = 6.67408 × 10⁻¹¹ m³/ kgs²
a) Schwarzschild radius
[tex]R_s=\frac{2GM}{c^2}\\\Rightarrow R_s=\frac{2\times 6.67408\times 10^{-11}\times 10^{10}1.9891\times 10^{30}}{(3\times 10^8)^2}=2.95\times 10^{13}\ m[/tex]
∴ Radius in meter is 2.95×10¹³ m
b) 1 m = 1.057×10⁻¹⁶ Lightyear
[tex]2.95\times 10^{13}\ m=2.95\times 10^{13}\ m\times 1.057\times 10^{-16}=0.00311815\ lightyears[/tex]
∴Radius in Lightyear 0.00311815 lightyears
