AE551 MT Exam 13 December 2010 ..................................................................................................................................... Surname Name ID Nu. . .1)............................... ............................................................................................ . ...2)............................... . . 3)-----------------------. ........................................................................................... Total.-----------------------Take the solar luminosity as (4x10^26 W),and the solar mass as (2x10^30 Kg). (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) (ix ) (x ) 2) (i ) (ii ) (iii) (iv ) 3) ( i ) (ii ) (iii) Calculate the magnitude of the energy generation by 1 Kg of solar mass. Considering that the Sun’s age is 5 billion years , calculate the total amount of energy generated by each Kg of solar matter. Multiply your result by 2 in order to obtain the solar energy to be generated for the WHOLE expected life of the Sun. A piece of burning wood generates about a million times more energy than that of your result calculated in the item(i). Can you say that wood’s energy generation capacity is greater than the Sun’s? YES NO (circle one) Justify your answer in the item (iii). Calculate the energy produced in the fusion process and compare it with your result in item (ii) ( consider the result for the whole solar life expectancy) Caculate the energy produced by the fusion of 1 Kg proton (Hydrogen). Calculate the rate at which protons must be fused into Helium in the solar core. Express your result in ton’s per second.(hint:consider solar luminosity) Considering that 0.7% of the total mass of the protons is converted into energy , express your result in item (vii) as the amount of matter converted into energy. What is the solar energy flux at 1AU, perpendicularly received by a unit area? Calculate the effective temperature of the Earth. Assume the albedo of the Earth is A=0.30. Calculate the gravitational acceleration on Titan, one of the moons of Saturn. Compare it to the Earth’s. Titan’s exosphere lies nearly 1000Km above its surface. Calculate the escape velocity from this altitude. What is the thermal speed of an Hydrogen atom at exospheric temperature of 200K ? Compare the two escape velocities of (iii) and (iv). Fill in the blanks: ........................% of the solar energy reaches the Earth as .‘.........................’and ........................................,....................................,.......................................... etc. all attributed to this energy. The last ...................% of the energy determines the Space Weather. Assuming the Earth’s atmosphere is homogenous, below 100 Km altitude, find the factor (in terms of 10 ) that the atmospheric pressure falls by 2.3 H (H:scale height. In terms of scale height , calculate at what altitude, the neutral atmospheric pressure decreases by a factor of ‘e ^3’ Yurdanur Tulunay