5. +0/1 points | Previous Answers PSE6 35.P.002. My Notes As a result of his obs

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5. +0/1 points | Previous Answers PSE6 35.P.002. My Notes As a result of his observations, Roemer concluded that eclipses of Io by Jupiter were delayed by 22 min during a six-month period as the Earth moved from the point in its orbit where it is closest to Jupiter to the diametrically opposite point where it is farthest from Jupiter. Using 1.5 × 108 km as the average radius of the Earth's orbit around the Sun, calculate the speed of light from these data 2.27e8X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Mm/s

Explanation / Answer

Distance between the earth and jupiter had remained the same - the eclipse would have been observed 22 minutes earlier. The delay of 22 minutes is the time light from jupiter took to reach the earth - when it was further away.

The extra distance was 2 times the radius of the earths orbit.

Which is 2 x 1.50x10^8 km = 3.0 x 10^8 km

this is the distance that took light 22 minutes to cross

Which means that light travels (3.0 x 10^8 km) / 22 km per minute which is 13,636,363 km per minute

Divide this by 60 to get 227,272 km per second

and mulitiply this by 1000 to get the answer in metres per second which is the more standard way of expressing it, which is 227,272,000 m/s

Or 227.27 Mm/s (Ans)

Comment in case any doubt, please rate my answer...

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