Supermassive black holes are thought to exist at the center of many galaxies. (a) what is the radius in m of such an object if it has a mass of 1010 suns? xm (b) what is this radius in light years?

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

∴ Radius in meter is 2.95×10¹³ m

b) 1 m = 1.057×10⁻¹⁶ Lightyear

∴Radius in Lightyear 0.00311815 lightyears

0.93xc=0.93x3x10^8m/s

2.54cm is 1 inch

360seconds i 1 hr