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| BETA : Waves : Optics 01 : Concave Mirror - Descarte's Formula : BETA Physics Homework Exercise
Description : Concave mirror - Descarte's formula.
Discussion : For a concave mirror
Di is negative if the image is behind the mirror
Hi is negative if the image is virtual
Do < F : enlarged virtual image right way up
F < Do < 2F : enlarged real image upside down
Do = 2F : life size real image upside down
2F < Do : reduced real image upside down
See Figure Concave Mirrors and Figure Concave Mirror Images
The homework exercise has 3 sets of questions with 3 questions per set.
Di, m, Hi
Do, f, Ho
m, Do, f
The basic equations are :
Di = 1 / (1 / f - 1 / Do)
m = Di / Do
Hi = m Ho
rearranging
Do = Di / m
f = 1 / (1 / Do + 1 / Di)
Ho = Hi / m
m = Hi / Ho
where
Do Di = distance of object and image from mirror
Ho Hi = height of object and image
f = focal length
m = magnification factor
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| BETA : Waves : Optics 02 : Convex Mirror - Descarte's Formula : BETA Physics Homework Exercise
Description : Convex mirror - Descarte's formula.
Discussion : For a convex mirror
f is negative
Di is always negative (the image is always behind the mirror).
Hi is always negative (the image is always virtual).
All images for a convex mirror are reduced virtual images right way up and behind the mirror.
See Figure Convex Mirrors and Figure Convex Mirror Images
The homework exercise has 3 sets of questions with 3 questions per set.
Di, m, Hi
Do, f, Ho
m, Do, f
The basic equations are :
Di = 1 / (1 / f - 1 / Do)
m = Di / Do
Hi = m Ho
rearranging
Do = Di / m
f = 1 / (1 / Do + 1 / Di)
Ho = Hi / m
m = Hi / Ho
where
Do Di = distance of object and image from mirror
Ho Hi = height of object and image
f = focal length
m = magnification factor
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| BETA : Waves : Optics 03 : Concave Lens - Descarte's Formula : BETA Physics Homework Exercise
Description : Concave lens - Descarte's formula.
Discussion : For a concave lens
f is negative
Di is always negative (the image is on the near side in front of the lens on the same side as the object).
Hi is always negative (the image is virtual).
All images for a concave lens are reduced virtual images right way up and in front of the lens.
See Figure Concave Lenses and Figure Concave Lens Images
The homework exercise has 3 sets of questions with 3 questions per set.
Di, m, Hi
Do, f, Ho
m, Do, f
The basic equations are :
Di = 1 / (1 / f - 1 / Do)
m = Di / Do
Hi = m Ho
rearranging
Do = Di / m
f = 1 / (1 / Do + 1 / Di)
Ho = Hi / m
m = Hi / Ho
where
Do Di = distance of object and image from lens
Ho Hi = height of object and image
f = focal length
m = magnification factor
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| BETA : Waves : Optics 04 : Convex Lens - Descarte's Formula : BETA Physics Homework Exercise
Description : Convex mirror - Descarte's formula.
Discussion : For a convex lens
Di is negative if the image is on the near side of the lens (in front of the lens on the same side as the object).
Hi is negative if the image is virtual
Do < F : enlarged virtual image right way up
F < Do < 2F : enlarged real image upside down
Do = 2F : life size real image upside down
2F < Do : reduced real image upside down
See Figure Convex Lenses and Figure Convex Lens Images
The homework exercise has 3 sets of questions with 3 questions per set.
Di, m, Hi
Do, f, Ho
m, Do, f
The basic equations are :
Di = 1 / (1 / f - 1 / Do)
m = Di / Do
Hi = m Ho
rearranging
Do = Di / m
f = 1 / (1 / Do + 1 / Di)
Ho = Hi / m
m = Hi / Ho
where
Do Di = distance of object and image from lens
Ho Hi = height of object and image
f = focal length
m = magnification factor
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| BETA : Waves : Optics 11 : Concave Mirror - Newton's Formula : BETA Physics Homework Exercise
Description : Concave mirror - Newton's formula.
Discussion : For a concave mirror So and Si are measured from the focal point in front of the mirror. Di is negative if the image is behind the mirror.
Do < F : enlarged virtual image right way up
F < Do < 2F : enlarged real image upside down
Do = 2F : life size real image upside down
2F < Do : reduced real image upside down
See Figure Concave Mirrors and Figure Concave Mirror Images
The homework exercise has 3 sets of questions with 4 questions per set.
So, Si, m, Hi
Si, m, Ho, So
So, m, Hi, Si
The basic equations are :
So = |f - Do|
Si = f2 / So
m = f / So = Si / f
Hi = m Ho
rearranging
Si = |f - Di|
So = f / m
Si = f m
Ho = Hi / m
where
So Si = distance of object and image from focal point in front of mirror
Ho Hi = height of object and image
f = focal length
m = magnification factor
Do Di = distance of object and image from mirror
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| BETA : Waves : Optics 12 : Convex Mirror - Newton's Formula : BETA Physics Homework Exercise
Description : Convex mirror - Newton's formula.
Discussion : For a convex mirror So and Si are measured from the focal point behind the mirror. All images for a convex mirror are reduced virtual images right way up and behind the mirror. Di is always negative. See Figure Convex Mirrors and Figure Convex Mirror Images
The homework exercise has 3 sets of questions with 4 questions per set.
So, Si, m, Hi
Si, m, Ho, So
So, m, Hi, Si
The basic equations are :
So = |-f - Do|
Si = f2 / So
m = f / So = Si / f
Hi = m Ho
rearranging
Si = |-f - Di|
So = f / m
Si = f m
Ho = Hi / m
where
So Si = distance of object and image from focal point behind the mirror
Ho Hi = height of object and image
f = focal length
m = magnification factor
Do Di = distance of object and image from mirror
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| BETA : Waves : Optics 13 : Concave Lens - Newton's Formula : BETA Physics Homework Exercise
Description : Concave lens - Newton's formula.
Discussion : For a concave lens So is measured from the far side focal point (on the other side of the lens from the object). Si is measured from the near side focal point (on the same side of the lens as the object). Di is always negative (the image is on the near side in front of the lens on the same side as the object). All images for a concave lens are reduced virtual images right way up and in front of the lens.
See Figure Concave Lenses and Figure Concave Lens Images
The homework exercise has 3 sets of questions with 4 questions per set.
So, Si, m, Hi
Si, m, Ho, So
So, m, Hi, Si
The basic equations are :
So = |-f - Do|
Si = f2 / So
m = f / So = Si / f
Hi = m Ho
rearranging
Si = |-f - Di|
So = f / m
Si = f m
Ho = Hi / m
where
So = distance of object from far focus behind lens (other side from object)
Si = distance of image from near focus in front of lens (the object side)
Ho Hi = height of object and image
f = focal length
m = magnification factor
Do Di = distance of object and image from lens
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| BETA : Waves : Optics 14 : Convex Lens - Newton's Formula : BETA Physics Homework Exercise
Description : Convex mirror - Newton's formula.
Discussion : For a convex lens So is measured from the near side focal point (on the same side of the lens as the object). Si is measured from the far side focal point (on the other side of the lens from the object).
Di is negative if the image is on the near side of the lens (in front of the lens on the same side as the object).
Do < F : enlarged virtual image right way up
F < Do < 2F : enlarged real image upside down
Do = 2F : life size real image upside down
2F < Do : reduced real image upside down
See Figure Convex Lenses and Figure Convex Lens Images
The homework exercise has 3 sets of questions with 4 questions per set.
So, Si, m, Hi
Si, m, Ho, So
So, m, Hi, Si
The basic equations are :
So = |f - Do|
Si = f2 / So
m = f / So = Si / f
Hi = m Ho
rearranging
Si = |f - Di|
So = f / m
Si = f m
Ho = Hi / m
where
So = distance of object from near focus in front of lens (the object side)
Si = distance of image from far focus behind lens (other side from object)
Ho Hi = height of object and image
f = focal length
m = magnification factor
Do Di = distance of object and image from lens
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| BETA : Waves : Optics 15 : Mirror And Lens - General Form Of Newton's Formula : BETA Physics Homework Exercise
Description : Mirror and lens - general form of Newton's formula.
Discussion : Newtons formula is easier to use than Descate's formula because So and Si are always positive. However, the calculation values do not provide any information whether the images are real or virtual, and which side of the mirror or lens, and focal point the images are. It is usually neccessary to construct a ray diagram when using Newton's formula.
The homework exercise has 3 sets of questions with 3 questions per set.
f, m, Hi
m, f, Si
Ho, So, Si
The basic equations are :
f = √(So Si)
m = f / So = Si / f
Hi = m Ho
rearranging
M = Hi / Ho
f = m So
Si = f2 / So
Ho = Hi / m
So = f / m
Si = f m
where
So Si = distance of object and image from relevant focal point
Ho Hi = height of object and image
f = focal length
m = magnification factor
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