(b) The relation between the object distance S, the image distance S' and the focal length f of a lens producing a real image is given as 1 1 S' This is called the Gaussian form of the thin lens formula. Another form of the formula, the Newtonian form, is obtained by considering the from the object to the first focal point and the distance x, from the distance second focal point to the image. Show that X,× x; = f² is the Newtonian form of the thin lens formula.

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Part b
An engineering student drops a vibrating 440 Hz tuning fork accidentally down
an elevator shaft of a tall building. When the student hears a frequency of 400 Hz,
how far down the shaft the tuning fork has fallen?
( speed of sound c = 343 m/s, g = 9.80 m/s )
(а)
3
(b)
The relation between the object distance S, the image distance S'and the focal
length f of a lens producing a real image is given as
1
1
S'
This is called the Gaussian form of the thin lens formula.
Another form of the formula, the Newtonian form, is obtained by considering the
from the object to the first focal point and the distance x, from the
distance
second focal point to the image.
Show that
X,× x; = f²
is the Newtonian form of the thin lens formula.
Transcribed Image Text:An engineering student drops a vibrating 440 Hz tuning fork accidentally down an elevator shaft of a tall building. When the student hears a frequency of 400 Hz, how far down the shaft the tuning fork has fallen? ( speed of sound c = 343 m/s, g = 9.80 m/s ) (а) 3 (b) The relation between the object distance S, the image distance S'and the focal length f of a lens producing a real image is given as 1 1 S' This is called the Gaussian form of the thin lens formula. Another form of the formula, the Newtonian form, is obtained by considering the from the object to the first focal point and the distance x, from the distance second focal point to the image. Show that X,× x; = f² is the Newtonian form of the thin lens formula.
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