History of Spherical Earth Model Quiz

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Match the following planets with their orbital period (T in years):

Mercury = 0.241 Venus = 0.615 Earth = 1.00 Mars = 1.88

Match the following planets with their average distance from the sun (R in astronomical units):

Jupiter = 5.20 Saturn = 9.54 Uranus = 19.18 Neptune = 30.06

Match the following planets with their T²/R³ ratio:

Earth = 1.00 Mars = 1.01 Jupiter = 0.99 Saturn = 1.00

Match the following planets with their orbital period and average distance from the sun:

Earth - 1.00 yr, 1.00 au = Neptune - 165 yr, 30.06 au Mars - 1.88 yr, 1.52 au = Venus - 0.615 yr, 0.72 au Jupiter - 11.8 yr, 5.20 au = Uranus - 84.0 yr, 19.18 au Mercury - 0.241 yr, 0.39 au = Saturn - 29.5 yr, 9.54 au

Match the following statements about Kepler's third law with their correct interpretation:

Third law involves comparison of motion traits between planets. = Third law describes motion characteristics of a single planet. The T²/R³ ratio is constant for every planet. = The T²/R³ ratio varies between planets. All planets have the same value for T²/R³ ratio. = Different planets have varying T²/R³ values. Kepler's third law accurately describes planetary motion around the sun. = Kepler's third law is inaccurate in describing planetary movement.

Match the following pairs of planets based on their orbital characteristics:

Mars - 1.88 yr, 1.52 au = Uranus - 84.0 yr, 19.18 au Earth - 3.156 x 10^7 s, 1.4957 x 10^11 m = Venus - 0.615 yr, 0.72 au Saturn - 29.5 yr, 9.54 au = Pluto - 248 yr, 39.44 au Jupiter - 11.8 yr, 5.20 au = Mercury - 0.241 yr, 0.39 au

Match the following planets with their T²/R³ ratio in scientific notation:

Earth = $2.977 \times 10^{-19}$ Mars = $2.975 \times 10^{-19}$ Venus = $1.01$ Neptune = $1$

Match the following pairs of planets with their orbital characteristics:

Jupiter - $11.8$ years, $5.20$ au = Venus - $0.615$ years, $0.72$ au Mercury - $0.241$ years, $0.39$ au = Earth - $3.156 \times 10^7$ s, $1.4957 \times 10^{11}$ m Saturn - $29.5$ years, $9.54$ au = Neptune - $165$ years, $30.06$ au Mars - $5.93 \times 10^7$ s, $2.278 \times 10^{11}$ m = Uranus - $84$ years, $19.18$ au

Match the following planets with their T²/R³ ratio in decimal format:

Earth = $1$ Mars = $1.01$ Mercury = $0.98$ Pluto = $1$

Match the following pairs of planets based on their T²/R³ ratio and average distance from the sun:

Venus - T²/R³: $1$, Distance: $0.72$ au = Mars - T²/R³: $2 Saturn - T²/R³: $1$, Distance: $9 = $.$ Neptune- T²/R³: $1$, Distance: $30 = $. Mercury- T²/R³: $$\times10^{-19}$, Distance: $.39$au = Jupiter- T²/R³:$99$,Distance: $$5

Test your knowledge on the history of the spherical Earth model, where the angle of the sun's rays in Alexandria and Syene led to the concept of a curved Earth. Explore the calculations that estimated Earth's circumference based on shadow measurements.

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