(a)
The distance between the objective lens and the image formed by the objective lens.
(a)
Answer to Problem 5SP
The distance between the objective lens and the image formed by the objective lens is
Explanation of Solution
Given info: The focal length of the objective lens is
Write the object-image equation of a lens.
Here,
Solve for
Substitute
Conclusion:
Therefore, the distance between the objective lens and the image formed by the objective lens is
(b)
The magnification of the image.
(b)
Answer to Problem 5SP
The magnification of the image is
Explanation of Solution
Given info: The distance between the lens and the object is
Write the expression for magnification of a lens.
Here,
Substitute
The negative sign of the magnification indicates the image is inverted and hence the magnification of the image is
Conclusion:
Therefore, the magnification of the image is
(c)
The distance between the eyepiece lens and the image formed by the eyepiece lens.
(c)
Answer to Problem 5SP
The distance between the eyepiece lens and the image formed by the eyepiece lens is
Explanation of Solution
Given info: The focal length of the eyepiece lens is
Write the object-image equation of a lens.
Solve for
Substitute
The negative sign shows that the image is virtual.
Conclusion:
Therefore, the distance between the objective lens and the image formed by the objective lens is
(d)
The magnification of the image.
(d)
Answer to Problem 5SP
The magnification of the image is
Explanation of Solution
Given info: The distance between the lens and the object is
Write the expression for magnification of a lens.
Substitute
The negative sign of the magnification indicates the image is inverted and hence the magnification of the image is
Conclusion:
Therefore, the magnification of the image is
(e)
The total magnification of the two-lens system.
(e)
Answer to Problem 5SP
The total magnification of the two-lens system is
Explanation of Solution
Given info: The magnification of the objective lens is
The total magnification of a combination of two lenses is the product of their individual magnification.
Write the expression for the total magnification of the combined lens system of objective lens and eyepiece lens.
Here,
Substitute
Hence, the total magnification produced by the two-lens system is
Conclusion:
Therefore, The total magnification of the two-lens system is
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