The smallest shift you can reliably measure on the screen is about 0.2 grid units. This shift corresponds to the precision of positions measured with the best Earth-based optical telescopes. If you cannot measure an angle smaller than this, what is the maximum distance at which a star can be located and still have a measurable parallax

Answers

Answer 1

Answer:

The distance is  [tex]d = 1.5 *10^{15} \ km[/tex]

Explanation:

From the question we are told that

        The smallest shift is [tex]d = 0.2 \ grid \ units[/tex]

Generally a grid unit is  [tex]\frac{1}{10}[/tex] of  an arcsec

  This implies that  0.2 grid unit is  [tex]k = \frac{0.2}{10} = 0.02 \ arc sec[/tex]

The maximum distance at which a star can be located and still have a measurable parallax is mathematically represented as

           [tex]d = \frac{1}{k}[/tex]

substituting values

           [tex]d = \frac{1}{0.02}[/tex]

           [tex]d = 50 \ parsec[/tex]

Note  [tex]1 \ parsec \ \to 3.26 \ light \ year \ \to 3.086*10^{13} \ km[/tex]

So  [tex]d = 50 * 3.08 *10^{13}[/tex]

     [tex]d = 1.5 *10^{15} \ km[/tex]


Related Questions

Other Questions
EXPLAIN TWO WAYS IN WHICH THE WORK OF ANDREAS VESALIUS AND THE WORK OF JOHN HUNTER WERE SIMULAR The National Assembly took their oath not to leave until they had a constitution on a tennis court because a small number of finches live in a protected bird sanctuary natural selection is like least likely to occur in this population Jayne Butterfield, a single mother with three children, lived in Sacramento, California. Sarah Huckleberry also lived in California until she moved to New York City to open and operate an art gallery. Huckleberry asked Butterfield to manage the gallery under a one-year contract for an annual salary of $90,000. To begin work, Butterfield relocated to New York. As part of the move, Butterfield transferred custody of her children to her husband, who lived in London, England. In accepting the job, Butterfield also forfeited her husband's alimony and child-support payments, including unpaid amounts of nearly $45,000. Before Butterfield started work, Huckleberry repudiated the contract. Unable to find employment for more than an annual salary of $30,000, Butterfield moved to London to be near her children. She filed a suit in an California state court against Huckleberry, seeking damages for breach of contract. Should the court hold, as Huckleberry argued, that Butterfield did not take reasonable steps to mitigate her damages? Why or why not? Please help me I've been stuck on this for a bit U-boats were used primarily togather information about enemy movements by tracking warships.protect the German coast from attack by Allied ships and submarines.resupply troops with guns, ammunition, and food via sea rather than land.target Allied shipments on passenger ships, warships, and merchant ships. An isotope is a different form of an element.if two atoms are isotopes of the same element, then they will have the same number of which type of particle? given [tex] log(x) = 2 \: and \: log(y) = - 1[/tex]prove that [tex]xy - 100y {}^{2} = 9[/tex] Which pair of terms best describes a wooden table? biotic and nonliving biotic and living abiotic and nonliving abiotic and living Read the passage. Delia pointed out the slender branches of the almond tree to Kaveh, noting the flowers that were about to bloom. As they walked through the garden, Kaveh noticed a skinny tree in the corner of the yard and asked Delia what type it was. How does the word choice slender affect the meaning of the passage? The word slender implies that the almond tree is elegant. The word slender implies that the almond tree is not growing very well. The word slender implies that the almond tree is underfed. The word slender implies that the almond tree is natural. 2 less than a number times 6 The top figure in the composite figure is called a . And What is the volume? What is the net ionic equation of the reaction of MgSO4 with Ba(NO3)2 ? All projects are unique:________. Select one: A. Therefore all project management circumstances are equally unique. B. So knowledge should not be transferred to avoid bias in future projects. C. So knowledge cannot be transferred. D. But they may have several common points. What feature in the Windows file system allows users to see only files and folders in a File Explorer window or in a list of files from the dir command to which they have been given at least read permission? Which line of dialogue most likely has a persuasive effect? Joe has just moved to a small town with only one golf course, the Northlands Golf Club. His inverse demand function is pequals 160minus2 q, where q is the number of rounds of golf that he plays per year. The manager of the Northlands Club negotiates separately with each person who joins the club and can therefore charge individual prices. This manager has a good idea of what Joe's demand curve is and offers Joe a special deal, where Joe pays an annual membership fee and can play as many rounds as he wants at $20 , which is the marginal cost his round imposes on the Club. What membership fee would maximize profit for the Club? The manager could have charged Joe a single price per round. How much extra profit does the Club earn by using two-part pricing? The profit-maximizing membership fee (F) is $nothing . (Enter your response as a whole number.) Rasheeda sees a garden in a book. She changes the scale because she wants a garden with different dimensions. The figure below shows both scales and a scale drawing of the garden.Book scale: 1 inch = 2 feet. Rasheeda's Scale: 2 inches = 3 feet. A rectangle with length A of 18 inches and width B of 6 inches.Which statements about the gardens are true? Select three options. y = 2 is a polynomial function.True or false explain why the solution to the absolute value inequality |4x-9|>-12 is all real numbers