(a) Find the object distance (in terms of f ) for a thin converging lens of foca

Question

(a) Find the object distance (in terms of f) for a thin converging lens of focal length f if the image is real and the image distance is two times the focal length. (Use any variable or symbol stated above as necessary. Enter your coefficient to two decimal places.)
p =   

(b) Find the object distance (in terms of f) for a thin converging lens of focal length f if the image is virtual and the absolute value of the image distance is eight times the focal length. (Use any variable or symbol stated above as necessary. Enter your coefficient to two decimal places.)
p =   

(c) Calculate the magnification of the lens for case (a).


Calculate the magnification of the lens for case (b)

Explanation / Answer

Part A)

Apply 1/f = 1/p + 1/q

1/f = 1/p + 1/2f

1/2f = 1/p

p = 2.00f

Part B)

1/f = 1/p + 1/-8f

1/1.125 = 1/p

p = .89 f

Part C)

M = -q/p

For the first part M = -2f/2f

M = -1.00

For the second part

M = -(-8f)/.89f

M = 9.00

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