Concept explainers
(a)
Image distance of the objective.
(a)
Explanation of Solution
Given:
The focal length of the objective is
Formula used:
A Galilean telescope is composed of two lenses: one is concave lens which serves as the eye piece while another one is convex lens which serves as the objective lens.
Write the expression for thin lens equation.
Here,
Rearrange above equation for the value of
Calculation:
Substitute
Conclusion:
Thus, the image of the objective is at the distance of
(b)
Object distance for the eye piece so that the final image is at near point.
(b)
Explanation of Solution
Given:
The focal length of the eye piece is
Formula used:
A Galilean telescope is composed of two lenses: one is concave lens which serves as the eye piece while another one is convex lens which serves as the objective lens.
Write the expression for thin lens equation.
Here,
Rearrange above equation for the value of
Calculation:
Substitute
Conclusion:
Object distance for the eye piece so that the final image is at near point is
(c)
Distance between the objective lens and the eye piece.
(c)
Explanation of Solution
Given:
The image of the objective is at the distance of
Formula used:
Write the expression for the separation distance between the lenses.
Here,
Calculation:
Substitute
Conclusion:
Distance between the objective lens and the eye piece is
(d)
Height of the final image, angular magnification.
(d)
Explanation of Solution
Given:
The object height is
Formula used:
Write the expression for magnification of telescope in terms of image size and object size.
Here,
Write the expression for lateral magnification equation in terms of image and object distances.
Here,
Write the expression for the magnification of telescope.
Here,
Calculation:
Substitute
Substitute
Substitute
Rearrange equation (1) for
Substitute
Write the expression for angular magnification of telescope.
Here,
Write the expression for the angle subtended by eyepiece.
Here,
Write the expression for the angle subtended by object.
Here,
Substitute
Substitute
Conclusion:
Height of the final image is
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Chapter 32 Solutions
Physics for Scientists and Engineers
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