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Exam 19: Optical Instruments

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Question 41

Multiple Choice

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A refracting telescope has a magnification M. If the focal length of the objective lens is doubled and the eyepiece focal length is halved, what is the new magnification?

A) 4M
B) 2M
C) M/2
D) M/4
E) M

F) B) and D)
G) A) and D)

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Question 42

Multiple Choice

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You have available lenses of focal lengths 2.0 cm, 4.0 cm, 8.0 cm, and 16 cm. If you could use any two of these lenses to build a telescope, what is the lens separation for the telescope to provide the maximum magnification for comfortable viewing of a planet?

A) 10.0 cm
B) 12.0 cm
C) 18.0 cm
D) 24.0 cm

E) B) and D)
F) A) and C)

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Question 43

Multiple Choice

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The angular magnification of a refracting telescope is 40. When the object and final image are both at infinity, the distance between the eyepiece and the objective is 143.5 cm. The telescope is used to view a distant radio tower. The real image of the tower, formed by the objective, is 6.0 mm in height. The focal point of the eyepiece is positioned at the real image. - What is the angle subtended by the final image of the tower?

Which of the following statements are correct? (There could be more than one correct choice.)

The objective and the eyepiece of a refracting astronomical telescope have focal lengths of 320 cm and 4.0 cm, respectively. The telescope is used to view Neptune and the final image is set at infinity. The diameter of Neptune is 4.96 × 10⁷ m, and its distance from Earth at the time of observation is 4.4 × 10¹² m. What is the angle (in milliradians) subtended by the final telescopic image of Neptune?

The length of the telescope is 1.60 m, and it has a magnification of 60.0. What is the focal length of the objective lens?

The objective lens of a refracting astronomical telescope has a focal length of 60 cm, and the eyepiece has a focal length of 2.0 cm. How far apart should the lenses be placed in order to form a final image at infinity?

Treat the pupil of your eye as a circular aperture of diameter 3.5 mm. Light of wavelength 500 nm is used to view two point sources that are 283 m distant from you. How far apart must these two point sources be if they are to be just barely resolved by your eye, assuming that the resolution is limited by diffraction?

Suppose your telescope has perfect mirrors and is limited only by diffraction. If you are viewing with light of 400 nm wavelength, what diameter mirror in a space telescope would have 1.0-km resolution of objects on Mars when viewed from above the earth at a time when the Earth-Mars distance of 80 million kilometers?

A nearsighted person has a far point of 18 cm. What power contact lenses will allow this person to comfortably see distant objects clearly?

A person uses a converging lens of focal length 5.0 cm as a magnifying glass. What is the angular magnification if the person's eye is relaxed and has a near point of 25 cm?

A very delicate sample is placed 0.150 cm from the objective lens of a microscope. The focal length of the objective is 0.140 cm, and that of the eyepiece is 1.0 cm. The near-point distance of the person using the microscope is 25.0 cm. The magnitude of the final magnification of the microscope is closes to

Chromatic aberration in lenses is due to the

When a person with a near point at 28 cm uses a certain magnifying glass, it produces an angular magnification of 7.0 with the image very distant. What is the focal length of the lens of this magnifying glass?

A certain astronomical telescope has a diameter of 5.60 m. What is the minimum angle of resolution for this telescope when it is forming images using light of wavelength 620 nm?

The length of a telescope is 2.20 m and the focal length of the eyepiece is 1.9 cm. What is the focal length of the objective lens?

The objective lens of a telescope has a focal length of 1.90 m. When viewed through this telescope, the Moon appears 5.25 times larger than normal. How far apart are the objective lens and the eyepiece when this instrument is focused on the Moon?

Farsightedness can usually be corrected with

A microscope has an objective lens of focal length 1.40 mm and an eyepiece of focal length 20.00 mm. It is adjusted for minimum eyestrain for persons with a near point of 25.0 cm. A blood sample is placed 1.50 mm from the objective. - The magnitude of the overall magnification is closest to

A simple refracting telescope provides large magnification by employing