5. We will employ a crude model to estimate the eccentricity of the Earth's orbit around the sun. We will suppose the intensity of Sun's radiation falls as inverse distance squared and say the temperature we measure at the equator is proportional to this intensity. Say the highest temperature during summer at the equator is about 50 ° C and the lowest temperature at the equator during winter is 7 ° C. Using this information, estimate the eccentricity of the Earth's orbit around the sun. Neglect the radius of the Earth which is very small compared to the distance between the Earth and Sun. The following conversion formula may be helpful, 0 ° C = 273.16 K. Express your answer upto 3 decimal places.
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