It shows a thin converging lens with radius R1 = 9 cm and R2 = -11 cm. This lens is placed in front of a hollow mirror of radius R = 8cm. a) Find the refractive index if the focal lengths F1 and F2 are 5 cm from the top of the lens. b) If there is a distance of 20 cm between the lens and the mirror and an object is placed 8 cm away from the left side of the lens, where is the final image and how large is it compared to the first image?

One end of the strip of a plane mirror is fixed and the other end rests on the top of the small vertical rod. The length of the plane mirror strip is 25cm. A ray of light is incident on the mirror and reflected from the mirror and forms a spot on a screen 3m away from the mirror. Now, if the top of the rod is moved upwards 0.1 mm, then what will be movement of the spot? A 0.24 cm B 3.4 cm 5 cm 4.5 cm

Problem 103. A) How do the lenses in glasses designed to correct nearsighted eyes with no astigmatism differ from the lenses designed to correct nearsighted eyes with astigmatism? B) Why can reshaping the cornea with a laser correct the far vision of a nearsighted person?

An object is located at a distance of 7.00 cm from a thin lens with a radius of curvature of 66.0 mm. The image of the object is inverted.  Is the image real or virtual, and how far is the image from the lens? a) Real, 6.24 cm b) Virtual, 6.24 cm c) Real, 116 cm d) Virtual, 116 cm e) Real, 2.2 cm

A composite equipment uses an objective lens with a focal length of (cm 4) and an eyepiece lens with a focal length of (10 cm). If an object is placed at a distance of 6 cm from the objective lens. Calculate the magnifying power of the microscope.

A laser beam of diameter d₁-1.1 mm is directed along the optical axis of a thin lens of focal length +4.7 cm (see figure below). (a) How far from the lens will the beam be focused? (b) A second positive lens is placed to the right of the first. Light emerges from the second lens in a parallel beam of diameter dy 3.6 mm. Thus the combination of lenses acts as a beam expander. Find the focal length of the second lens. Find the distance between the lenses.

A contact lens is made of plastic with index of refraction n = 1.5. The lens has an outer radius R1 = +2.0 cm and inner radius of curvature R2 = +2.5 cm. Find the focal length and the power of the lens (a) in air (b) in water (nwater = 1.33).

A thick lens has the following properties: Radius of the front surface: R₁ = 5.0 cm Radius of the back surface: R₂ = -5.0 cm Thickness: d = 0.5 cm Index of refraction: n = 1.52 Consider the effective focal length of this lens (feff). What would the percentage error for the focal length be (relative to feff) if you were to assume that this were a thin lens? Select one: O 1.7 2.5 0 O O O O 3.6

An inquiring student makes a refracting telescope by placing an objective lens and an eyepiece at opposite ends of a 48.0 cm long tube. If the eyepiece has a focal length of 1.60 cm, calculate the required focal length in cm of the objective lens and the angular magnification of the telescope. HINT (a) the required focal length in cm of the objective lens  cm (b) the angular magnification of the telescope