| MadSci Network: Physics |
Assuming that the lens in question is a thin Bi-Convex eg like this (),
the lens maker formula could be used
1/f = (n-1) * (1/R1 - 1/R2) + (n-1)^2 /n * t/R1*R2
Where f=focal length
n=refractive index of lens material
R1=radius of curvature of 1st surface
R2=radius of curvature of 2nd surface
t= lens thickness
nb
^2 means squared
either R1 or R2 is taken to be negative usually R2
t can be measured using vernier calipers or micrometer
A spherometer is needed to find R1 R2
If the above is of no use a simple high school physics experiment can be
used to find the focal length (but not as accurate as the above method)
below is a diagram of the experimental setup see any high school physics
book for a better diagram
EQUIPMENT
lens,lens holder*,cross hairs cut into a piece of metal/card etc
screen (sheet of white paper),and meter-stick
lamp¦ () |screen
' u ' v '
where ¦ is the piece of metal etc containing the cross hairs
() is the lens
u is the distance between the cross-hairs and the lens
v is the distance between the lens and the focussed image
nb
all measurements are made from the middle of the lens
experiment is best preformedwithout any background lights
* lens holder can be simply a piece of wood witha slot in it ti stop lens
falling over
by putting the above results in the following formula the focal length can
be obtained 1/f= 1/u + 1/v
the magnification m =v/u.
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