Homework Solution: In this problem, you will determine the correct distance the imaging plane should be from the lens for an object at a ce…

    In this problem, you will determine the correct distance the imaging plane should be from the lens for an object at a certain distance to be in focus. Assume the thin lens model discussed in lecture for a camera with a focal length of 35mm. An object in the scene will be in focus when all the rays from the object that pass through the lens converge at the same point on the imaging plane. What should be the distance from the lens to the imaging plane for an object that is : a)1m from the camera? b) 100m from the camera?

    Expert Answer

     
    The formula for thin lense 1/p + 1/q = 1/f

    In this problem, you get state the rectify protraction the imaging roll should be from the lens control an design at a sure protraction to be in nucleus. Assume the meager lens standard discussed in disquisition control a camera with a focal protraction of 35mm. An design in the spectacle get be in nucleus when integral the rays from the design that ignoring through the lens incline at the similar sharp-end on the imaging roll.

    What should be the protraction from the lens to the imaging roll control an design that is :

    a)1m from the camera?

    b) 100m from the camera?

    Expert Apology

     

    The controlmula control meager lense

    1/p + 1/q = 1/f

    f – focal protraction of the lense

    p – protraction betwixt the lense and the design

    q – protraction betwixt the lense and the metaphor.

    So control

    a) p = 1m = 1000 mm f= 35 mm

    q = 1/(1/f-1/p) = (1/(1/35 – 1/1000))
    = (1/(0.028 – 0.001)
    = 1/0.027
    = 37.03 mm

    b) p = 100m = 100000 mm f= 35 mm

    q = 1/(1/f-1/p) = (1/(1/35 – 1/100000))
    = (1/(0.02857 – 0.00001)
    = 1/0.02856
    = 35.01 mm