Question

What is the relationship between the curvature of the lens and the focal length?

Answer #1

How does the curvature of the lens affects the focal length? Do
you think this relationship also is true for mirrors?

What is the relationship between object distance, image distance
and focal length? Feel free to use your text or other resources to
determine a formula to determine focal length of a lens.

5.26* Determine the focal length in air of a thin biconcave lens
having
equal radii of curvature of 12.5 cm and an index of 1.5. What
will
happen to the focal length of this lens we submerge it in carbon
disulfide
(n = 1.628)?

A converging lens with focal length of 30 cm and a diverging
lens with focal length of 10 cm are 15 cm apart. A 4-cm-tall object
is 10 cm in front of the 30-cm-focal-length lens. Use ray tracing
to find the height of the image in cm

A 15-cm-focal-length converging lens is 20 cm to the right of an
8.0-cm-focal-length converging lens. A 2.9-cm-tall object is
distance L to the left of the first lens.
Part A) For what value of L is the final image of this two-lens
system halfway between the two lenses?
Part B) What is the height of the final image?

A converging lens with a focal length of 20 cm and a diverging
lens with a focal length of -34 cm are 74.0 cm apart. A 2.6-cm-tall
object is 40 cm in front of the converging lens.
1. Calculate the distance between image and diverging lens.
2. Calculate the image height.

#8.) Describe in brief two methods to measure
(a) focal length of a lens and
(b) radius of curvature of a spherical surface. Indicate
accuracies achievable in each case.

What kind of lens (type and focal length) would you need to place
next to a converging lens of focal length 25cm to create a
converging lens with a focal length of 40cm?

An object is 1.8 m to the left of a lens of focal length 0.8 m.
A second lens of focal length -3.7 m is 0.5 m to the right of the
first lens. Find the distance between the object and the final
image formed by the second lens. What is the overall magnification
(with sign)?

A converging lens is made using glass with index 1.5. The
desired focal length is 60 cm. If one side of the lens is convex
with radius of curvature 20 cm, how should the other side be
made?

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