Concept explainers
(a)
The Schwarzschild radius for a black hole, which has a mass of
(a)
Answer to Problem 39Q
Solution:
The radius is
Explanation of Solution
Given data:
Mass of the black hole is
Formula used:
The expression for the Schwarzschild radius is:
Here,
The conversion formula for km into au is:
The conversion formula from m to km is:
Explanation:
Consider the value of
Recall the expression for Schwarzschild radius.
Substitute
To convert the value of radius from km to au, use the conversion formula.
Conclusion:
Therefore, the Schwarzschild radius of the black hole is
(b)
The angular diameter of a black hole, which is at a distance of
(b)
Answer to Problem 39Q
Solution:
Explanation of Solution
Given data:
The distance between Earth and the center of the galaxy is
Formula used:
The angular diameter can be calculated by the following expression:
Here,
The conversion formula from parsec to au is:
Explanation:
Refer the sub-part (a) for the value of radius of black hole that is
The linear size,
Recall the expression for angular diameter.
Substitute
Conclusion:
The angular diameter is
(c)
The angular diameter of a black hole which is at a distance of
(c)
Answer to Problem 39Q
Solution:
Explanation of Solution
Given data:
The distance between Earth and the center of the galaxy is
Formula used:
The angular diameter can be calculated as,
Here,
Explanation:
Refer the sub-part (a) for the value of radius of black hole that is
The linear size,
Recalling the expression for angular diameter as,
Substitute
Conclusion:
The angular diameter is
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Chapter 22 Solutions
UNIVERSE LL W/SAPLINGPLUS MULTI SEMESTER
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