A converging lens is placed at x = 0, a distance d = 9.50 cm to the left of a diverging lens as in the figure below (where FC and FD locate the focal points for the converging and the diverging lens, respectively). An object is located at x = −1.60 cm to the left of the converging lens and the focal lengths of the converging and diverging lenses are 6.00 cm and −8.50 cm, respectively. HINT An illustration shows a converging lens, a diverging lens, and their respective pairs of focal points oriented such that the x-axis serves as their shared Principal axis. The converging lens is located at x = 0 and the diverging lens is a distance d to the right. A pair of focal points (both labeled FC) are shown on opposite sides of the converging lens while another pair (both labeled FD) are shown on opposite sides of the diverging lens. An arrow labeled O is located between the converging lens and the left-side FC. Between the lenses, the diverging lens's left-side FD is located between the converging lens and its right-side FC. (a) Determine the x-location in cm of the final image. cm (b) Determine its overall magnification.
A converging lens is placed at x = 0, a distance d = 9.50 cm to the left of a diverging lens as in the figure below (where FC and FD locate the focal points for the converging and the diverging lens, respectively). An object is located at x = −1.60 cm to the left of the converging lens and the focal lengths of the converging and diverging lenses are 6.00 cm and −8.50 cm, respectively. HINT An illustration shows a converging lens, a diverging lens, and their respective pairs of focal points oriented such that the x-axis serves as their shared Principal axis. The converging lens is located at x = 0 and the diverging lens is a distance d to the right. A pair of focal points (both labeled FC) are shown on opposite sides of the converging lens while another pair (both labeled FD) are shown on opposite sides of the diverging lens. An arrow labeled O is located between the converging lens and the left-side FC. Between the lenses, the diverging lens's left-side FD is located between the converging lens and its right-side FC. (a) Determine the x-location in cm of the final image. cm (b) Determine its overall magnification.
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A converging lens is placed at
x = 0,
a distance d = 9.50 cm to the left of a diverging lens as in the figure below (where FC and FD locate the focal points for the converging and the diverging lens, respectively). An object is located at x =
−1.60
cm to the left of the converging lens and the focal lengths of the converging and diverging lenses are
6.00 cm
and
−8.50 cm,
respectively.HINT
An illustration shows a converging lens, a diverging lens, and their respective pairs of focal points oriented such that the x-axis serves as their shared Principal axis. The converging lens is located at x = 0 and the diverging lens is a distance d to the right. A pair of focal points (both labeled FC) are shown on opposite sides of the converging lens while another pair (both labeled FD) are shown on opposite sides of the diverging lens. An arrow labeled O is located between the converging lens and the left-side FC. Between the lenses, the diverging lens's left-side FD is located between the converging lens and its right-side FC.
(a)
Determine the x-location in cm of the final image.
cm
(b)
Determine its overall magnification.
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