Question 4:(21 points) Assume a certain concave, spherical mirror has a focal le

Question

Question 4:(21 points) Assume a certain concave, spherical mirror has a focal length of 12.0 cm. (a) Locate the image and find the magnification for an object distance of 32.0 cm. Determine whether the image is real or virtual, inverted or upright, and larger or smaller (I points each). Do the same for object distances of (b) 19.0 cm and (c) 7.00 cm. Question 5: (21 points) A converging lens of focal length 14.0 cm forms images of an object situated at various distances. (a) If the object is placed 41.0 cm from the lens, locate the image, state whether it's real or virtual, inverted or upright, and find its magnification (larger of smaller) (1 points each). (b) Repeat the problem when the object is at 19.0 cm and (c) again when the object is 9.00 cm from the lens.

Explanation / Answer

4. f = 12 cm

(A) object distance, p= 32 cm

1/f = 1/p + 1/q

q = 19.2 cm .......Ans (iMage distance)

m = - q / p = - 0.6

Image is real ( because q is + ve)

m is negative so inverted.

|m|<1 so smaller.

(b) p = 19 cm

q = 32.6 cm

m = - 1.7  

real, inverted, larger

(C) q = 7 cm

q = - 16.8 cm

m = 2.4  

virtual, upright, larger

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