In Figure P35.30, a thin converging lens of focal length 14.0 cm forms an image of the square abed, which is h, h, = 10.0 cm high and lies between distances of p, = 20.0 cm and p. = 30.0 cm from the lens. Let a', b', c', and d' represent the respective corners of the image. Let q, rep- resent the image distance for points d' and b', q. represent the image dis- tance for points e' and d', h, represent the dis- tance from point b' to the axis, and H represent the height of c'. (a) Find q. 94, h, and h'. (b) Make a sketch of the image. (c) The area of the object is 100 cm?. By carrying out the following steps, you will evaluate the area of the image. Let q represent the image distance of any point between a' and d', for which the object distance is p. Let h' represent the dis- tance from the axis to the point at the edge of the image between i and c' at image distance q. Demonstrate that a dF Figure P35.30 |씨%=D10.0g( 14.0 9. where k and q are in centimeters. (d) Explain why the geo- metric area of the image is given by (e) Carry out the integration to find the area of the image.
In Figure P35.30, a thin converging lens of focal length 14.0 cm forms an image of the square abed, which is h, h, = 10.0 cm high and lies between distances of p, = 20.0 cm and p. = 30.0 cm from the lens. Let a', b', c', and d' represent the respective corners of the image. Let q, rep- resent the image distance for points d' and b', q. represent the image dis- tance for points e' and d', h, represent the dis- tance from point b' to the axis, and H represent the height of c'. (a) Find q. 94, h, and h'. (b) Make a sketch of the image. (c) The area of the object is 100 cm?. By carrying out the following steps, you will evaluate the area of the image. Let q represent the image distance of any point between a' and d', for which the object distance is p. Let h' represent the dis- tance from the axis to the point at the edge of the image between i and c' at image distance q. Demonstrate that a dF Figure P35.30 |씨%=D10.0g( 14.0 9. where k and q are in centimeters. (d) Explain why the geo- metric area of the image is given by (e) Carry out the integration to find the area of the image.
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Transcribed Image Text:In Figure P35.30, a thin converging lens of focal length
14.0 cm forms an image of the square abed, which is h,
h, = 10.0 cm high and lies between distances of p, = 20.0 cm
and p. = 30.0 cm from the lens. Let a', b', c', and d' represent
the respective corners
of the image. Let q, rep-
resent the image distance
for points d' and b', q.
represent the image dis-
tance for points e' and
d', h, represent the dis-
tance from point b' to the
axis, and H represent the
height of c'. (a) Find q.
94, h, and h'. (b) Make
a sketch of the image.
(c) The area of the object is 100 cm?. By carrying out the
following steps, you will evaluate the area of the image. Let
q represent the image distance of any point between a' and
d', for which the object distance is p. Let h' represent the dis-
tance from the axis to the point at the edge of the image
between i and c' at image distance q. Demonstrate that
a dF
Figure P35.30
|씨%=D10.0g(
14.0
9.
where k and q are in centimeters. (d) Explain why the geo-
metric area of the image is given by
(e) Carry out the integration to find the area of the image.
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