Two convex lenses are placed 15 cm apart. The left lens has a focal length of 10 cm, and the right lens a focal length of 5 cm. An object is 50 cm to the left of the left. lens. Where does the image from the right lens appear? Is this image real or virtual? This setup is essentially a simple telescope, (the shorter focal length lens being the one you look through) so what does your answer tell you about looking at a nearby object through a telescope? (Hint: Treat the image from the left lens as the object for the right lens.)

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CarliReifsteck CarliReifsteck · Answer 1 · 2019-09-12T09:51:32+02:00

Answer:

The image distance from right lens is 2.86 cm and image is real.

Explanation:

Given that,

Focal length of left lens = 10 cm

Focal length of right lens = 5 cm

Distance between the lenses d= 15 cm

Object distance = 50 cm

We need to calculate the image distance from left lens

Using formula of lens

[tex]\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}[/tex]

Put the value into the formula

[tex]\dfrac{1}{v}=\dfrac{1}{10}-\dfrac{1}{-50}[/tex]

[tex]\dfrac{1}{v}=\dfrac{3}{25}[/tex]

[tex]v=8.33\ cm[/tex]

We need to calculate the image distance from right lens

The object distance will be

[tex]u = 15-8.33 = 6.67\ cm[/tex]

Using formula of lens

[tex]\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}[/tex]

Put the value into the formula

[tex]\dfrac{1}{v}=\dfrac{1}{5}-\dfrac{1}{-6.67}[/tex]

[tex]\dfrac{1}{v}=\dfrac{1167}{3335}[/tex]

[tex]v=2.86\ cm[/tex]

The image is real.

Hence, The image distance from right lens is 2.86 cm and image is real.