for 1,2&4 my homework asks for the answers to be 2 significant figures for 3 it

Question

for 1,2&4 my homework asks for the answers to be 2 significant figures for 3 it wants the answers in 3 significant figures thank you!

1.) A compound microscope has a barrel whose length is 15.9 cm and an eyepiece whose focal length is 1.7 cm. The viewer has a near point located 25 cm from his eyes. What focal length must the objective have so the angular magnification of the microscope is -320?

2.) The distance between the lenses in a compound microscope is 18 cm. The focal length of the objective is 1.5 cm. If the microscope is to provide an angular magnification of -84 when used by a person with a normal near point (25 cm from the eye), what must be the focal length of the eyepiece?

3.)The telescope at Yerkes Observatory in Wisconsin has an objective whose focal length is 19.4 m. Its eyepiece has a focal length of 10.0 cm. (a) What is the angular magnification of the telescope? (b) If the telescope is used to look at a lunar crater (diameter = 6950 m), what is the size of the first image, assuming the surface of the moon is 3.77

Explanation / Answer

1) M = -LD/fo*fe

320 = (15.9*25)/(1.7*fo)

fo = 0.73 cm

2) M = -LD/fo*fe

84 = (18*25)/(1.5fe)

fe = 3.57 cm

3)

a) M = fo /fe = 19.4/0.1 = 194

b) alfa = ho/do = (6950)/(3.77*10^8) = 18.44e?6

M = beta/alfa

beta= alfa*M

beta = hi/di = hi / fe

hi = fe*M*alfa = (0.1*194*18.44e?6) = 357.736e?6 m

4)

a) 1/S + 1/S' = -1/F

1/19.3 + 1/S' = -1/5.2

S' = -4.1m

b) hi / ho = S'/S

hi = ho*s'/S = (2.8*4.1)/19.3 = 0.59 m

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