2. Compare an amateur telescope of 100 mm (a typical \"4-inch\" tel which is 10
ID: 121725 • Letter: 2
Question
2. Compare an amateur telescope of 100 mm (a typical "4-inch" tel which is 10 meters across. [Hint: Work in powers of ten; "2 decimals" means after the decimal point in powers of ten notation.) usually a refractor) with that of the Keck telescope, (o) Area of 100-mm objetive in (b) Area of 100-mm objective in m2: mm2 Write in scientific notation and round to 2 decimals: same for part b with powers of ten can make this step easier. Hint: How many mm in 1 meter? How many mm2 in 1 m2?) (c) Area of 10-m Keck objective: (d) 10-m objective collects (e) The answer to (d) represents how many magnitudes? m2 (Careful! Note the conversion from millimeters? to meters?. Workin m2 Write answer in scientific notation and round to 2 decimals times the light of a 100-mm objective Round to nearest whole number (Hint: Look for the 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 × 10 or 10, then how many powers often is the answer to d?)Explanation / Answer
Light-gathering power of a telescope is directly proportional to the area of its primary lens or mirror. All lenses and mirrors have acircular circumference. The area of a circle is given by the formula:A= r2. Because is a constant, the radius,r,of the mirror or lensis the most important factor in determining the light-gathering power of a telescope.
A) Area of 100 mm = 3.14 * 100*100 = 31400 mm2
B) Area of 100 mm - in meter - 0.0314 m2 ( 1mm2 = 10^-6 m2)
C) Area of 10 m keck objective - 3.14*10*10 = 314 m2
D) A lens or mirror that is twice the radius (or diameter) of another telescope objective has 4 times the light-gathering power.
Then 4*100 = 400 times of light
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