An astrophysicist mounts two thin lenses along a single optical axis (the lenses are at right...

An astrophysicist mounts two thin lenses along a single optical axis (the lenses are at right angles to the line connecting them, and they appear concentric when viewed from either end). The lenses are identical, each with a positive (converging) focal length of +15.2 cm. They are separated by a distance of 40.7 cm. Lens 1 is to the left of Lens 2. In order to evaluate the lens combination as a single optical instrument, the teacher places an object 30.0 cm in front of (to the left of) Lens 1.

a.) What is the final image's distance (in cm) from Lens 2? (Omit any sign that may result from your calculation.)

b.) Where is the final image located?

c.) What is the overall magnification of the lens pair, considered as a single optical instrument?

Expert Solution

Here we apply concept of image formation from thin lenses and concept of combination of lenses.

genius_generous answered 2 years ago

An optical system consists of two thin lenses: +100. mm and -20.0 mm. They are separated...

An optical system consists of two thin lenses: +100. mm and -20.0 mm. They are separated by a distance of 50.0 mm. An object is placed 50.0 mm in front of the +100. mm lens. Determine: a. the final image location, and b. transverse magnification. c. Is the final image real or virtual? Why?

A meterstick lies along the optical axis of a convex mirror of focal length -48 cm,...

A meterstick lies along the optical axis of a convex mirror of focal length -48 cm, with its nearest end 85 cm from the mirror. How long is the image of the meterstick?

Two thin lenses with a focal length of magnitude 12.0cm, the first diverging and the second...

Two thin lenses with a focal length of magnitude 12.0cm, the first diverging and the second converging, are located 9.00cm apart. An object 2.50mm tall is placed 20.0cm to the left of the first (diverging) lens. Note that focal length of diverging lens is a negative number while focal length of converging lens would be positive. (a) Draw a figure showing both lenses and use principal rays to find approximate position of the image formed by the first lens. (b)...

Lens Care Inc. (LCI) manufactures specialized equipment for polishing optical lenses. There are two models -...

Lens Care Inc. (LCI) manufactures specialized equipment for polishing optical lenses. There are two models - one mainly used for fine eyewear (F-32) and another for lenses used in binoculars, cameras, and similar equipment (B-13). The manufacturing cost of each unit is calculated using activity-based costing, using the following manufacturing cost pools: Cost Pools Allocation Base Costing Rate Materials handling Number of parts $ 2.40 per part Manufacturing supervision Hours of machine time $ 14.80 per hour Assembly Number of...

Two converging thin lenses (f1 = 15 cm and f2 = 20 cm) are separated by...

Two converging thin lenses (f1 = 15 cm and f2 = 20 cm) are separated by 25 cm. A candle is placed in 40 cm in front of the first lens. a) Where will the image of the candle be created by the two-lens system? b) Describe the properties of the image. c) Describe how the image changes as the lenses are moves closer together. d) The lenses are now moved right next to each other. What is the equivalent...

Two thin lenses each with focal lengths of f1 = +12.0 cm and f2 = +10.0...

Two thin lenses each with focal lengths of f1 = +12.0 cm and f2 = +10.0 cm; are located 30.0 cm apart with their optical axes aligned as shown. An object is placed 35.0 cm from the first lens. After the light has passed through both lenses, at what distance from the second lens will the final image be formed?

Two thin converging lenses of focal lengths f1 = 11.0cm and f2 = 20.0cm are separated...

Two thin converging lenses of focal lengths f1 = 11.0cm and f2 = 20.0cm are separated by 25.0cm. An object is placed 33.0cm to the left of lens 1. Find the position and magnification of the final image.

43.) Lens Care Inc. (LCI) manufactures specialized equipment for polishing optical lenses. There are two models...

43.) Lens Care Inc. (LCI) manufactures specialized equipment for polishing optical lenses. There are two models - one mainly used for fine eyewear (F-32) and another for lenses used in binoculars, cameras, and similar equipment (B-13). The manufacturing cost of each unit is calculated using activity-based costing, using the following manufacturing cost pools: Cost Pools Allocation Base Costing Rate Materials handling Number of parts $ 2.90 per part Manufacturing supervision Hours of machine time $ 14.85 per hour Assembly Number...

At X University, an optical system is used to monitor the movement of rats. The optical system consists of two biconvex lenses and a camera without a lens to observe the rats.

At X University, an optical system is used to monitor the movement of rats. The optical system consists of two biconvex lenses and a camera without a lens to observe the rats. The system has a lens (lens) with a focal length of 30 cm which is placed 40 cm from the mice and before the camera sits an eyepiece with a focal length of 20 cm. By varying the distance between the lens and the eyepiece, the focus position...

Bowman Specialists Inc. (BSI) manufactures specialized equipment for polishing optical lenses. There are two models—one (A–25)...

Bowman Specialists Inc. (BSI) manufactures specialized equipment for polishing optical lenses. There are two models—one (A–25) principally used for fine eyewear and the other (A–10) for lenses used in binoculars, cameras, and similar equipment. The following table shows the manufacturing cost of each unit is calculated, using activity-based costing, for these manufacturing cost pools. Cost Pools Allocation Base Costing Rate Materials handling Number of parts $ 3.45 per part Manufacturing supervision Hours of machine time $ 24.30 per hour Assembly...

Question