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 behind the first has a focal length of f2 = 10 cm. i. Draw a ray trace diagram for this optical system [4 marks] ii. Show where the image produced by the first lens appears on your diagram. Is it a real or virtual image? [3 marks] iii. What is the magnification of the object at the first image? [1 marks] iv. Show where the final image appears on your diagram. Is it a real or virtual image? [3 marks] v. What is the magnification of the first image at the final image? [1 mark] vi. What is the magnification of the object at the final image? [2 marks]

Expert Solution

genius_generous answered 6 months ago

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.

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...

PART A A lens with two convex surfaces, both with radii of curvature of 0.25 meters,...

PART A A lens with two convex surfaces, both with radii of curvature of 0.25 meters, is used to focus light. If the lens is made of crown glass, it would have an index of refraction for red (656 nm) light of 1.509 and for blue light (486 nm) of 1.517. What happens when it is used to make an image of a distant source of white light? Pick those that apply (THERE ARE 3 ANSWERS) The red light falls...

6) consider a double convex thick lens in air with radiu curvature of 30cm and 40cm...

6) consider a double convex thick lens in air with radiu curvature of 30cm and 40cm for front and back surfaces, respectively, and q thickness of 10cm. calculate the lens power. use n=1.5 for the glass. a) 0.46D b) 3.13D c) 3.04D d) 2.78D e) 2.92D

A convex mirror has a radius of curvature whose magnitude is 43 cm. The mirror is...

A convex mirror has a radius of curvature whose magnitude is 43 cm. The mirror is positioned on a horizontal optical bench with its front surface at 0 cm. A 13.5 cm long fluorescent lamp oriented vertically is placed at +90 cm. What is the focal length of the mirror? Tries 0/5 At what distance from the mirror can we find a sharp image of the lamp? Tries 0/5 How tall is the image of the lamp? Tries 0/5 If...

A convex spherical mirror has a radius of curvature of 9.60 cm. A) Calculate the location...

A convex spherical mirror has a radius of curvature of 9.60 cm. A) Calculate the location of the image formed by an 7.65-mm-tall object whose distance from the mirror is 18.0 cm. Answer in cm. B) Calculate the size of the image. Answer in mm. C) Calculate the location of the image formed by an 7.65-mm-tall object whose distance from the mirror is 10.0 cm. Answer in cm. D) Calculate the size of the image. Answer in mm. E) Calculate...

Using the lens maker’s equation, find the radius of curvature needed for the leading surface (in...

Using the lens maker’s equation, find the radius of curvature needed for the leading surface (in other words, R1 =?) to optimize the power of the lens. Assume that the secondary surface has a fixed radius of curvature, R2 Hint: Write the power (P) as a function of R1, and apply the maximization condition. Yes, you need to use calculus. Ans:

2A) A convex mirror has radius of curvature of magnitude 20 cm. (I) its focal length...

2A) A convex mirror has radius of curvature of magnitude 20 cm. (I) its focal length is + 10 cm (II) its focal length is – 10 cm (III) it produces only virtual images. (IV) it produces only magnified images. only IV II and III I and IV only I 2B) An object is placed 20 cm in front of a concave mirror of radius 50 cm. (I) the image is formed behind the mirror (II) the image is inverted...

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...

Q3- lens A to be a convex lens with a focal length of 20 cm, lens...

Q3- lens A to be a convex lens with a focal length of 20 cm, lens B is concave lens with focal length of 15 cm a- Calculate and compare the optical powers for lenses A, and B b- Find the combined optical power if the two lenses were cascaded behind each other Q4- Use ray tracing or Lens equation to find the image of an object 1 cm high located at 2 cm away from a convex lens that...

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