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A system of two converging lenses forms an image of an arrow as shown. The first lens is located at x = 0 and has a focal length of f₁ = 8.8 cm. The second lens is located at x = x2 = 58.13 cm and has a focal length of f2 = 21 cm. The tip of the object arrow is located at (x,y) = (xo,Y)= (-12.3 cm, 6.9 cm). Ay (X,Y) cm Submit 1) What is x₁, the x-coordinate of image of the arrow formed by the first lens? X2 cm Submit X 2) What is y₁, the y-coordinate of the image of the tip of the arrow formed by the first lens? cm Submit 3) What is x3, the x co-ordinate of image of the arrow formed by the two lens system?

A system of two converging lenses forms an image of an arrow as shown. The first lens is located at x = 0 and has a focal length of f₁ = 8.8 cm. The second lens is located at x = x2 = 58.13 cm and has a focal length of f2 = 21 cm. The tip of the object arrow is located at (x,y) = (xo,Y)= (-12.3 cm, 6.9 cm). Ay (X,Y) cm Submit 1) What is x₁, the x-coordinate of image of the arrow formed by the first lens? X2 cm Submit X 2) What is y₁, the y-coordinate of the image of the tip of the arrow formed by the first lens? cm Submit 3) What is x3, the x co-ordinate of image of the arrow formed by the two lens system?

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A system of two converging lenses forms an image of an arrow as shown. The first lens is located at x = 0 and has a focal length of f₁ = 8.8 cm. The second lens is located at x = x2 = 58.13 cm and has a focal length of f2 = 21 cm. The tip of the object arrow is located at (x,y) = (xo,Y)= (-12.3 cm, 6.9 cm). AY (X,Y) 1) What is x₁, the x-coordinate of image of the arrow formed by the first lens? cm Submit 2) What is y₁, the y-coordinate of the image of the tip of the arrow formed by the first lens? cm Submit Virtual and Inverted Virtual and Upright Submit X₂ cm Submit X 3) What is x3, the x co-ordinate of image of the arrow formed by the two lens system? cm Submit 5) What is the nature of the final image relative to the object? Real and Inverted Real and Upright ++++ 4) What is y3, the y-coordinate of the image of the tip of the arrow formed by the two lens system? + 6) Which of the following changes to the locations of the lenses would result in a virtual and inverted image of the original object arrow? + + + Move the first lens to x = -7.9 cm, keeping the second lens at x = 58.13 cm. Move the second lens to x = 68.63 cm, keeping the first lens at x = 0. Move the second lens to x = 41.4257142857143 cm, keeping the first lens at x = 0. None of the above moves will produce a virtual inverted image of the object arrow.
Transcribed Image Text:A system of two converging lenses forms an image of an arrow as shown. The first lens is located at x = 0 and has a focal length of f₁ = 8.8 cm. The second lens is located at x = x2 = 58.13 cm and has a focal length of f2 = 21 cm. The tip of the object arrow is located at (x,y) = (xo,Y)= (-12.3 cm, 6.9 cm). AY (X,Y) 1) What is x₁, the x-coordinate of image of the arrow formed by the first lens? cm Submit 2) What is y₁, the y-coordinate of the image of the tip of the arrow formed by the first lens? cm Submit Virtual and Inverted Virtual and Upright Submit X₂ cm Submit X 3) What is x3, the x co-ordinate of image of the arrow formed by the two lens system? cm Submit 5) What is the nature of the final image relative to the object? Real and Inverted Real and Upright ++++ 4) What is y3, the y-coordinate of the image of the tip of the arrow formed by the two lens system? + 6) Which of the following changes to the locations of the lenses would result in a virtual and inverted image of the original object arrow? + + + Move the first lens to x = -7.9 cm, keeping the second lens at x = 58.13 cm. Move the second lens to x = 68.63 cm, keeping the first lens at x = 0. Move the second lens to x = 41.4257142857143 cm, keeping the first lens at x = 0. None of the above moves will produce a virtual inverted image of the object arrow.
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