The ratio of Earth’s orbital angular momentum (about the sun) to its mass is 4.4×1015 m2/s. The area enclosed by the earth’s orbit is N×1023 m2. Find the value of N ?
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answer is 0000.69.
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Detailed Solution
GivenAngular momentum per mass LM=4.4×1015 m2/sBy Kepler’s second law we use Areal velocity = Area SweptTime for one Revolution of Earth about the sun Also we use Areal velocity = L2M⇒ Area Swept = L2M (Time for one Revolution of Earth about the sun) ⇒ Area Swept = 124.4×1015365×24×60×60⇒ Area Swept = 0.69×1023 m2