
(a)
To calculate: Compactness of Earth.
Compactness of Earth is
Given:
Mass of Earth:
Radius of Earth:
Compactness is the ratio of Schwarzschild radius to Actual radius.
Formula used:
Schwarzschild radius
Calculation:
Let compactness be denoted by
Substituting the given values we get-
Conclusion:
Compactness of Planet earth is
(b)
To calculate: Compactness of Sun.
Compactness of Sun is
Given:
Mass of Sun:
Radius of Sun:
Compactness is the ratio of Schwarzschild radius to Actual radius.
Formula used:
Schwarzschild radius
Calculation:
Let compactness be denoted by
Substituting the given values we get-
Conclusion:
Compactness of Sun is
(c)
To calculate: Compactness of Neutron Star.
Compactness of Neutron Star is
Given:
Density of Star:
Radius of Star:
Compactness is the ratio of Schwarzschild radius to Actual radius.
Formula used:
Schwarzschild radius
Calculation:
Let compactness be denoted by
Substituting the given values we get-
Since
Conclusion:
Compactness of Star is
(d)
To calculate: Compactness of Black hole.
Compactness of Black hole is1.
Given:
Compactness is the ratio of Schwarzschild radius to Actual radius.
Formula used:
Schwarzschild radius
Calculation:
Let compactness be denoted by
According to question the Schwarzschild radius of black hole is comparable to its actual radius therefore
Conclusion:
Compactness of Black hole is
(b)
To calculate: Compactness of Sun.
Compactness of Sun is
Given:
Mass of Sun:
Radius of Sun:
Compactness is the ratio of Schwarzschild radius to Actual radius.
Formula used:
Schwarzschild radius
Calculation:
Let compactness be denoted by
Substituting the given values we get-
Conclusion:
Compactness of Sun is
(c)
To calculate: Compactness of Neutron Star.
Compactness of Neutron Star is
Given:
Density of Star:
Radius of Star:
Compactness is the ratio of Schwarzschild radius to Actual radius.
Formula used:
Schwarzschild radius
Calculation:
Let compactness be denoted by
Substituting the given values we get-
Since
Conclusion:
Compactness of Star is
(d)
To calculate: Compactness of Black hole.
Compactness of Black hole is1.
Given:
Compactness is the ratio of Schwarzschild radius to Actual radius.
Formula used:
Schwarzschild radius
Calculation:
Let compactness be denoted by
According to question the Schwarzschild radius of black hole is comparable to its actual radius therefore
Conclusion:
Compactness of Black hole is
(c)
To calculate: Compactness of Neutron Star.
Compactness of Neutron Star is
Given:
Density of Star:
Radius of Star:
Compactness is the ratio of Schwarzschild radius to Actual radius.
Formula used:
Schwarzschild radius
Calculation:
Let compactness be denoted by
Substituting the given values we get-
Since
Conclusion:
Compactness of Star is
(d)
To calculate: Compactness of Black hole.
Compactness of Black hole is1.
Given:
Compactness is the ratio of Schwarzschild radius to Actual radius.
Formula used:
Schwarzschild radius
Calculation:
Let compactness be denoted by
According to question the Schwarzschild radius of black hole is comparable to its actual radius therefore
Conclusion:
Compactness of Black hole is
(d)
To calculate: Compactness of Black hole.
Compactness of Black hole is1.
Given:
Compactness is the ratio of Schwarzschild radius to Actual radius.
Formula used:
Schwarzschild radius
Calculation:
Let compactness be denoted by
According to question the Schwarzschild radius of black hole is comparable to its actual radius therefore
Conclusion:
Compactness of Black hole is

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Chapter 13 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
- An object is placed 24.1 cm to the left of a diverging lens (f = -6.51 cm). A concave mirror (f= 14.8 cm) is placed 30.2 cm to the right of the lens to form an image of the first image formed by the lens. Find the final image distance, measured relative to the mirror. (b) Is the final image real or virtual? (c) Is the final image upright or inverted with respect to the original object?arrow_forwardConcept Simulation 26.4 provides the option of exploring the ray diagram that applies to this problem. The distance between an object and its image formed by a diverging lens is 5.90 cm. The focal length of the lens is -2.60 cm. Find (a) the image distance and (b) the object distance.arrow_forwardPls help ASAParrow_forward
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