# What is the orbital period of a bit of matter in an accretion disk 2 × 10 5 km from a 10-solar-mass black hole? (Hint: Use the circular orbit velocity formula in Reasoning with Numbers 4-1; make sure you convert relevant quantities to units of meters, kilograms, and seconds.)

### Horizons: Exploring the Universe (...

14th Edition
Michael A. Seeds + 1 other
Publisher: Cengage Learning
ISBN: 9781305960961

Chapter
Section

### Horizons: Exploring the Universe (...

14th Edition
Michael A. Seeds + 1 other
Publisher: Cengage Learning
ISBN: 9781305960961
Chapter 11, Problem 8P
Textbook Problem
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## What is the orbital period of a bit of matter in an accretion disk 2 × 10 5 km from a 10-solar-mass black hole? (Hint: Use the circular orbit velocity formula in Reasoning with Numbers 4-1; make sure you convert relevant quantities to units of meters, kilograms, and seconds.)

To determine

The orbital period of matter in an accretion disk 2×105km from a 10-solar-mass black hole.

### Explanation of Solution

Given info:

M=10Msun=1.99×1031kgr=2×105km=2×108m

Formula used:

Circular velocity:

v=GMr

Here, r is radius and G is gravitational constant and its value is 6.67×1011m3kg-1s-2 .

Calculation:

We have

v=GMr=6

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