an amateur telescope of 100 mm (a typical \"4-inch\" telescope, usually a refrac
ID: 115154 • Letter: A
Question
an amateur telescope of 100 mm (a typical "4-inch" telescope, usually a refractor) with that of the Keck telescope which is 10 meters across. [Hint: Work in powers of ten; "2 decimals" means after the decimal point in powers of ten notation.] (a) Area of 100-mm objective in mm2 (b) Area of 100-mm objective in m2 mm2 Write in scientific notation and round to 2 decimals; same for part b m (Careful! Note the conversion from millimeters2 to meters2. Working with powers of ten can make this step easier. Hint: How many mm in 1 meter? How many mm2 in 1 m2) Round to 2 decimals] Area of 10-m Keck objective 10-m objective collects m2 [Write answer in scientific notation and round to 2 decimals (c) (d) (e) times the light of a 100-mm objective [Round to nearest whole number] The answer to (d) represents how many magnitudes? (Hint: Look for thex function on a scientific calculator. If (2.512) 100 and represents 5 magnitude steps, then how many steps does the answer to d represent? If 100 10 x 10 or 10, then how many powers of ten is the answer to d?)Explanation / Answer
(a) 204 mm2
(b) 0.000204 m2
(c) 2.04mm2
(d) 40 times
(e) 5 magnitudes
LGP50mm/LGPeye = (50/7)2 = 51.021 ; LGP203mm/LGPeye = (203/7)2 = 841
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