An astronomical telescope is made with lenses of focal length 80.0 cm and 2.00 cm.Two stars in the sky are separated by 0.080$^{\circ}$.What angle of separation do they have when viewed in the telescope?
A) 40$^{\circ}$
B) 6.4$^{\circ}$
C) 3.2$^{\circ}$
D) 1.6$^{\circ}$
E) 0.080$^{\circ}$

Question

Quizplus · Accepted Answer

The angle of separation between the stars can be found using the formula:

θ = tan-1 (d/f)

where θ is the angle of separation, d is the distance between the stars, and f is the focal length of the telescope.

Plugging in the values given:

d = 0.080 m
f = 0.80 m (the longer focal length of the two lenses)

θ = tan-1 (0.080/0.80)
θ = tan-1 (0.1)
θ = 5.7°

Therefore, the answer is closest to choice C, which is 3.2°.

An Astronomical Telescope Is Made with Lenses of Focal Length ∘^{\circ}∘

An Astronomical Telescope Is Made with Lenses of Focal Length $^{\circ}$