An object is viewed using a simple microscope of focal length 12 cm . To obtain the maximum angular magnification, at what distance from the lens should the object be positioned? The least distance for clear vision is 25 cm .

Step-by-step solution

For maximum angular magnification, the final image must be formed at the least distance of distinct vision. Given: Focal length, f = +12 cm Image distance, v = -D = -25 cm Using the lens formula: 1 v - 1 u = 1 f 1 u = 1 v - 1 f 1 u = 1 -25 - 1 12 1 u = -12 - 25 300 = - 37 300 u = - 300 37 cm -8.1 cm The object should be positioned at a distance of 8.1 cm from the lens.