(a)
The comparison between the brightness of sunlight on Earth and the brightness of sunlight on Pluto at perihelion. The distance of Pluto from the Sun at perihelion is
(a)
Answer to Problem 53Q
Solution:
The ratio of Sun’s brightness on Pluto at perihelion and the brightness on Earth is
Explanation of Solution
Given data:
The distance between Pluto and Sun at perihelion is
Formula used:
According to the Inverse square law, the brightness of sunlight is inversely proportional to the square of the distance between the sun and the object.
Explanation:
The distance between the Sun and the Earth is about
Brightness of the Sun on the Earth is:
Similarly,
Brightness of the Sun on the Pluto at perihelion is:
Consider the brightness of the Sun on the Pluto at perihelion compared to the brightness on Earth be
Combining these two above expressions to get,
Conclusion:
The brightness of the Sun on Pluto at perihelion is
(b)
The comparison between the brightness of sunlight on Earth and the brightness of sunlight on Pluto at aphelion. The distance of Pluto from the Sun at aphelion is
(b)
Answer to Problem 53Q
Solution:
The ratio of Sun’s brightness on Pluto at aphelion and the brightness on Earth is
Explanation of Solution
Given data:
The distance of Pluto and Sun at aphelion is
Formula used:
According to Inverse square law, the brightness of sunlight is inversely proportional to the square of the distance between the sun and the object.
Explanation:
The distance between the Sun and the Earth is near about
Brightness of the Sun on the Earth is:
Similarly,
Brightness of the Sun on the Pluto at aphelion is:
Consider the brightness of the Sun on the Pluto at aphelion compared to the brightness on Earth be
Combinine these two above expressions to get,
Conclusion:
The brightness of the Sun on Pluto at aphelion is
(c)
The comparison between the brightness of sunlight on Pluto at perihelion and the brightness of sunlight on Pluto at aphelion.
(c)
Answer to Problem 53Q
Solution:
The ratio of brightness of the Sun on Pluto at perihelion and that at aphelion of Pluto is
Explanation of Solution
Given data:
The distance of Pluto and Sun at aphelion is
Formula used:
According to Inverse square law, the brightness of sunlight is inversely proportional to the square of the distance between the sun and the object.
Explanation:
By referring the part (a) and (b),
Brightness of the sunlight at perihelion as compared to the brightness on Earth is:
Brightness of the sunlight at aphelion as compared to the brightness on Earth is:
The brightness of sunlight at perihelion compared to the brightness at aphelion is:
Substitute
Conclusion:
The brightness of the Sun on Pluto at perihelion is
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Chapter 14 Solutions
Universe
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