(a) Define focal length of a spherical lens.

(b) A divergent lens has a focal length of 30 cm. At what distance should an object of height 5 cm from the optical center of the lens be placed so that its image is formed 15 cm away from the lens? Find the size of the image also.


(c) Draw a ray diagram to show the formation of image in the above situation.


(a) Focal length of a spherical lens is defined as the distance between optical center and focus of the lens.

(b)Given: focal length of concave lens f = -30 cm


Height of the object, h1 = 5 cm


Image distance, v = -15 cm


Applying the lens formula







Now, size of image can be calculated as follows:





(c)The ray diagram is as follows:



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