Question

Your telescope has an eyepiece of focal length 0.5 cm and can produce an image with magnification of 200. What is the focal length of your primary lens?

Answer 1

Therefore, the focal length of the primary lens is 100 cm.

Step-by-step explanation:

The formula for the magnification of a telescope is given by:

m = -f₁/f₂

where:

m = magnification

f₁ = focal length of the primary lens

f₂ = focal length of the eyepiece

Given that the magnification is 200 and the focal length of the eyepiece is 0.5 cm, we can rearrange the formula to solve for f₁:

m = -f₁/f₂

200 = -f₁/0.5

Multiplying both sides by 0.5:

100 = -f₁

Dividing both sides by -1:

f₁ = 100 cm

Therefore, the focal length of the primary lens is 100 cm.

Answer 2

1m 0r 100 cm

Step-by-step explanation:

The magnification of a telescope is given by the formula:

magnification = focal length of telescope / focal length of eyepiece

We are given the focal length of the eyepiece (0.5 cm) and the desired magnification (200). We can rearrange the formula to solve for the focal length of the telescope:

focal length of telescope = magnification x focal length of eyepiece

focal length of telescope = 200 x 0.5 cm = 100 cm = 1 m

Therefore, the focal length of the primary lens (or telescope) is 1 meter.