Question

Describe the image created by a convex lens when the object is located between the focal point F and two times the focal point F. Use the lens and magnification equations to support your answer.
Give a brief 3 sentences

Answer 1

When an object is placed between the focal point (F) and two times the focal point (2F) of a convex lens, the image formed is real, inverted, and magnified. Using the lens formula \( \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \) (where \( f \) is the focal length, \( d_o \) is the object distance, and \( d_i \) is the image distance), we find that \( d_i \) is positive, indicating a real image. The magnification \( m \) is given by \( m = -\frac{d_i}{d_o} \), so since \( d_o < 2F \), \( d_i \) will be greater than \( d_o \), resulting in a magnification greater than 1, confirming that the image is larger than the object.