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 amount, you get individualize the redress interspace the imaging flatten should be from the lens ce an design at a undeniable interspace to be in centre. Assume the diluted lens design discussed in exhortation ce a camera with a focal prolixity of 35mm. An design in the show get be in centre when full the rays from the design that by through the lens meet at the similar summit on the imaging flatten.

    What should be the interspace from the lens to the imaging flatten ce an design that is :

    a)1m from the camera?

    b) 100m from the camera?

    Expert Acceptance

     

    The cemula ce diluted lense

    1/p + 1/q = 1/f

    f – focal prolixity of the lense

    p – interspace among the lense and the design

    q – interspace among the lense and the picture.

    So ce

    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