Chapter 17 Class 8 Stars And The Solar System - 1.jpg

Chapter 17 Class 8 Stars And The Solar System - 2.jpg


Transcript

NCERT Question 15 The radius of Jupiter is 11 times the radius of the Earth. Calculate the ratio of the volumes of Jupiter and the Earth. How many Earths can Jupiter accommodate? Let radius of earth = x Since, radius of Jupiter is 11 times the radius of the Earth Radius of Jupiter = 11x Now, (π‘‰π‘œπ‘™π‘’π‘šπ‘’ π‘œπ‘“ π½π‘’π‘π‘–π‘‘π‘’π‘Ÿ)/(π‘‰π‘œπ‘™π‘’π‘šπ‘’ π‘œπ‘“ πΈπ‘Žπ‘Ÿπ‘‘β„Ž) = (4/3 πœ‹ (π‘…π‘Žπ‘‘π‘–π‘’π‘  π‘œπ‘“ π½π‘’π‘π‘–π‘‘π‘’π‘Ÿ)^3)/(4/3 πœ‹ (π‘…π‘Žπ‘‘π‘–π‘’π‘  π‘œπ‘“ πΈπ‘Žπ‘Ÿπ‘‘β„Ž)^3 ) = (π‘…π‘Žπ‘‘π‘–π‘’π‘  π‘œπ‘“ π½π‘’π‘π‘–π‘‘π‘’π‘Ÿ)^3/(π‘…π‘Žπ‘‘π‘–π‘’π‘  π‘œπ‘“ πΈπ‘Žπ‘Ÿπ‘‘β„Ž)^3 = (11π‘₯)^3/(π‘₯)^3 = (γ€–11γ€—^3 Γ—γ€– π‘₯γ€—^3)/π‘₯^3 = γ€–11γ€—^3 = 1331 Thus, ratio of the volumes of Jupiter and the Earth is 1331:1 Therefore, Jupiter can accommodate 1331 Earths

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Maninder Singh

CA Maninder Singh is a Chartered Accountant for the past 14 years and a teacher from the past 18 years. He teaches Science, Economics, Accounting and English at Teachoo