A diverging lens has a focal length of magnitude 20cm. a) (1pt) What is the powe

Question

A diverging lens has a focal length of magnitude 20cm.

a) (1pt) What is the power of the lens?
b) (2pt) Locate the images for object distances of i) 40cm, ii) 20cm, and iii) 10cm (make a clear large, half page drawing with straight lines)
c) (2pt) State for each case whether the image is (R)eal or (V)irtual AND (U)pright or (I)nverted:

i) 40 cm __________ ii) 20 cm __________ iii) 10 cm ________

d) (3pt) Calculate the Magnifications for each case:

i) 40 cm, M = ______ ii) 20 cm M = _______ iii) 10 cm M=____

Explanation / Answer

a)Power = 1/f = 1/0.2 = 10/2 = 5 m-1

b) i)do = 40cm => di = fdo/(do-f) = (20*40)/(40-20) = 40cm

ii)do = 20cm => di = fdo/(do-f) = (20*20)/(20-20) = Infinity...No Image

iii)do = 10cm => di = fdo/(do-f) = (20*10)/(10-20) = -20cm

c) i)Image is Real, inverted

ii)No image

iii)Image is virtual, Upright

d) i) M = -di/do = -40/40 = -1

ii)M = -di/do = -

iii)M = 20/10 = 2

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