A Newton’s Rings interferometer uses a plano-convex lens having refractive index � = 1.523 and a...

A Newton’s Rings interferometer uses a plano-convex lens having refractive index � =
1.523 and a sodium source with � = 589 nm. The laterally moving microscope finds the
radius of the 6th dark fringe to be equal to 7 mm. (a) Determine the focal length of the
plano-convex lens. (b) A drop of coconut oil (n = 1.46) fills the space between the
curved surface of the lens and the flat surface of the mirror determine the radii of the third
and 10th dark fringes.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Describe the reduction in the spherical aberration for a plano-convex lens for the special case of...

Describe the reduction in the spherical aberration for a plano-convex lens for the special case of collimated light (parallel light) focused down to a focal point. Which orientation of the lens gives the least spherical aberration and why? Show ray diagrams Describe how and axial-GRIN lens can further reduce the spherical aberration. Again show a qualitative ray diagram.

Question 7 a. The radius of curvature of a plano-convex lens is measured to be 2...

Question 7 a. The radius of curvature of a plano-convex lens is measured to be 2 metres, and the focal length in air (n = 1) is measured to be 4 metres. i. What is the power of the lens? [2 marks] ii. What is the refractive index of the lens material? [4 marks] b. A toy Dalek is placed 40 cm in front of a converging lens of focal length f1 = 20 cm; another converging lens 60 cm...

A single bi-convex lens (a lens with two convex surfaces) made of glass (index of refraction...

A single bi-convex lens (a lens with two convex surfaces) made of glass (index of refraction n = 1.55) has surfaces with radii of curvature r1 = 27.0 cm and r2 = -27.0 cm. a)What is the focal length of the lens in air? b)If an object is placed at p = 39.7 cm from the lens, where is the image? (Use plus sign for a real image, and minus sign for a virtual image.) c)If the object has a...

A single glass lens has a refractive index of 1.5 and radii of curvature R1=5cm and...

A single glass lens has a refractive index of 1.5 and radii of curvature R1=5cm and R2=-5cm. Write down the analytical and numerical system matricies for the lens. Comparing these matricies, what is the focal length of the lens?

A 3.0 cm thick lens with a refractive index of 1,650, has radii of curvature r1...

A 3.0 cm thick lens with a refractive index of 1,650, has radii of curvature r1 = + 5.0 cm and r2 = -15.0cm. If you considered it as a thick lens, what would be its focal length and what would its power? Find the positions of the main points and the focal points. Find the front focal length and the rear focal length. If the second surface is silver, what is the power? And the focal length of the...

A plate of glass with parallel faces having a refractive index of 1.52 is resting on...

A plate of glass with parallel faces having a refractive index of 1.52 is resting on the surface of water in a tank. A ray of light coming from above in air makes an angle of incidence 36.0 with the normal to the top surface of the glass. What angle does the ray refracted into the water make with the normal to the surface? Use 1.33 for the index of refraction of water.

A symmetric, double-convex, thin lens made of glass with index of refraction 1.52 has a focal...

A symmetric, double-convex, thin lens made of glass with index of refraction 1.52 has a focal length in air of 40.0 cm. The lens is sealed into an opening in the left-hand end of a tank filled with water. At the right-hand end of the tank, opposite the lens, is a plane mirror 90.0 cm from the lens. The index of refraction of the water is 4/3. 1.Find the position of the image formed by the lens-water-mirror system of a...

Using thin-lens theory, determine a formula involving only the refractive index, n, for the maximum “theoretical”...

Using thin-lens theory, determine a formula involving only the refractive index, n, for the maximum “theoretical” aperture of an imaging lens. Express the answer as an f/number. (ii) Explaining your reasoning, make a reasonable estimate of the numerical value of this maximum aperture. (iii) Comment on the practical and theoretical limitations of your solution. (iv) In addition, briefly comment on the advantages and disadvantages of large-aperture imaging lenses.

Subjects