30. In Figure P35.30, a thin converging lens of focal length QIC 14.0 cm forms an image of the square abcd, 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 a' and 8, q, represent the image dis- tance for points e' and d', , represent the dis- tance from point b' to the axis, and h represent the height of e'. (a) Find q. Le 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 k' represent the dis- tance from the axis to the point at the edge of the image between b' and e' at image distance q. Demonstrate that a dF Figure P35.30 IM| = 10.0g(0 -) 14.0

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Chapter1: Units, Trigonometry. And Vectors
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30. In Figure P35.30, a thin converging lens of focal length
QIC 14.0 cm forms an image of the square abcd, 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 a' and b', q.
represent the image dis-
tance for points e' and
d', , represent the dis-
tance from point b' to the
axis, and h represent the
height of c'. (a) Find g.
Ie 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 k' represent the dis-
tance from the axis to the point at the edge of the image
between b' and c' at image distance q. Demonstrate that
a dF
a
Figure P35.30
|시= 10.0g
14.0
Transcribed Image Text:30. In Figure P35.30, a thin converging lens of focal length QIC 14.0 cm forms an image of the square abcd, 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 a' and b', q. represent the image dis- tance for points e' and d', , represent the dis- tance from point b' to the axis, and h represent the height of c'. (a) Find g. Ie 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 k' represent the dis- tance from the axis to the point at the edge of the image between b' and c' at image distance q. Demonstrate that a dF a Figure P35.30 |시= 10.0g 14.0
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