(i) Solve the problem below: 5.47 Compute the image location and magnification of an object 30 cm from the front doublet of the thin-lens combination in Fig. P.5.47. Do the calculation by finding the effect of each lens sepa- rately. Make a sketch of appropriate rays.

A compound microscope is made from an objective lens of focal length fo = 8 mm, andan eyepiece of fe = 12 mm. The objective lens is moved close to the object so that anintermediate image is formed 20 cm above the objective lens; then the eyepiece is set atits own focal length above the intermediate image, forming a virtual image at infinity forthe user’s eye. If the object is 0.15 mm in diameter, calculate the following, taking care todefine symbols used:i) The required distance of the objective lens above the object.ii) The diameter of the intermediate image.iii) The angular size of the image to the user’s eye.iv) The system angular magnification, defined as the angular size in (iii) divided by theangle subtended by the object to the naked eye from a distance of 25 cm.

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(2) A z0om lens system is a combination of lenses that produces a variable magnification of a fixed object as it maintains a fixed image position. The magnification is varied by moving one or more lenses along the principal axis. Suppose an object shines light through two lenses and then onto a viewing screen. Lens 1, which is to the right of the object, has a focal length fi = 7.00 cm. Lens 2 is to the right of lens 1, and has a focal length f2 = 12.00 cm. The screen is to the right of lens 2. Initially, the object is at a distance of 10.00 cm to the left of lens 1. The image formed on the screen has a magnification of +1.00. (a) Calculate the distance between the object and the screen, in cm. (b) Both lenses are now moved along the principal axis while the object and the screen maintain fixed positions, until the image formed on the screen has a magnification of +2.50. Calculate the displacement of each lens from its initial position in part (2)(a). (c) The result of part (2)(b) can…

4. (b) You find two positive lenses fi=5.0 cm and f2 =30 cm from the storage room. How would you arrangefor them to construct a telescope? What is the magnification of your telescope? Is the image upright orinverted?

Question is below

(II) (a) A 2.40-cm-high insect is 1.30 m from a 135-mm- focal-length lens. Where is the image, how high is it, and what type is it? (b) What if f = -135 mm? %3D