SOLUTION: Stars of magnitude m are visible through a telescope of minimum diameter d (in inches). the relationship is m=8.8 + 5.1 log d.
Round your answer to one decimal place.
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-> SOLUTION: Stars of magnitude m are visible through a telescope of minimum diameter d (in inches). the relationship is m=8.8 + 5.1 log d.
Round your answer to one decimal place.
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Question 729266: Stars of magnitude m are visible through a telescope of minimum diameter d (in inches). the relationship is m=8.8 + 5.1 log d.
Round your answer to one decimal place.
1. a telescope with diamter 75 inches can detect a star of magnitude m = ____.
2. a star of magnitude 10.6 can be detected using a telescope with lens diameter d = ______ inches
for the firs problem I substituted 75 in for d. m= 8.8 + 5.1 log 75. I then solved for log 75 which is 1.875. m = 8.8 + 5.1(1.875). I then solved for m to be 18.4.
the second problem I substituted 10.6 in for m. 10.6 = 8.8 + 5.1 log d.
I didn't know what to do or if the first part is correct. Please help. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Stars of magnitude m are visible through a telescope of minimum diameter d (in inches). the relationship is m(d) = 8.8 + 5.1 log d.
Round your answer to one decimal place.
1. a telescope with diamter 75 inches can detect a star of magnitude
m(75) = 8.8 + 5.1*log(75) = 18.37
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2. a star of magnitude 10.6 can be detected using a telescope with lens
Solve: 10.6 = 8.8+5.1*log(d)
5.1*log(d) = 1.8
log(d) = 0.3529
d = 10^0.3529 = 2.2539 inches
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