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Q. 9

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 353

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Short Answer

The mass of Jupiter is 300 times the mass of the earth. Jupiter orbits the sun with TJupiter = 11.9 yr in an orbit with rJupiter = 5.2rearth. Suppose the earth could be moved to the distance of Jupiter and placed in a circular orbit around the sun. Which of the following describes the earth’s new period? Explain. a. 1 yr b. Between 1 yr and 11.9 yr c. 11.9 yr d. More than 11.9 yr e. It would depend on the earth’s speed. f. It’s impossible for a planet of earth’s mass to orbit at the distance of Jupiter.

Option (C) 11.9 yr is correct

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Step by Step Solution

Step1: Given Information

Period of Jupiter, TJupiter=11.9 yearRadius of the Jupiter, rjupiter=5.2 rearth

Step2: Explanation

Use Keplar's law T =kR3/2

Where, r= radius of orbit, k = constant, T= period

From the Keplar law, we can conclude that the Time period only depends on the radius of orbit.

If earth moved to the distance of Jupiter and placed in a circular orbit then the period will be the same that of Jupiter, which is 11.9 years.

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