A concave lens refracts parallel rays in such a way that they are bent away from…
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Question “A concave lens refracts parallel rays in such a way that they are bent away from…”
A concave lens refracts parallel rays in such a way that they are
bent away from the axis of the lens. For this reason, a concave
lens is referred to as a diverging lens.
Part A
Consider the following diagrams, where F represents the focal point
of a concave lens. In these diagrams, the image formed by the lens
is obtained using the ray tracing technique. Which diagrams are
accurate?(Figure 1) (Figure 2) (Figure 3) (Figure 4)
Type A if you think that only diagram A is correct, type AB if you
think that only diagrams A and B are correct, and so on.
Part B
If the focal length of the concave lens is -7.50 cm , at what
distance do from the lens should an object be placed so that its
image is formed 3.70 cm from the lens?
Express your answer in centimeters.
Part C
What is the magnification m produced by the concave lens described
in Part B?
Express your answer numerically.
Part D
Where should the object be moved to have a larger
magnification?
A. The object should be moved closer to the lens.
B. The object should be moved farther from the lens.
C. The object should be moved to the focal point of the lens.
D. The object should not be moved closer to the lens than the focal
point.
(figuers1-4)
Answer
Answer 1
Answer 2
This problem can be solved using ray tracing or image formation with concave lenses.
The refraction rules for diverging lenses will help you find the right diagram.
Use lens formula to find the position of an image for a diverging lens.
You can also find magnification relation with image distance and object distance.
Find the right option for an object that requires a larger magnification by using concave lens image characteristics.
Concave lenses are very thin at the edges. The lens will diverge the rays passing through it.
Because it refracts parallel light away from the lens’ axis, concave lenses are known as diverging.
Refracted rays appear to emanate from one focal point, so they diverge.
Three refraction rules apply to diverging lenses.
The first rule is that rays should travel parallel to the principal direction.
The second rule states that rays traveling towards the focal point of the lens will refract to travel parallel to their principal axis.
The third rule states that if a ray passes through a lens’ center, it will continue in the same direction.
Concave lenses have a negative focal length. Concave lenses should have the image on the same side as the object.
Different types of images are produced depending on how the object is placed relative to the lens.
The distance between the object and its pole is called object length, while the distance between the pole and the lens pole is called image distance.
Focal length is the distance between the principal focal point and the pole.
Lens formula is a new way to describe object distance, principal focus and image distance.
The formula for the lens formula is:
Here is the object distance.
An object’s image is magnified according to its size.
It is simply the ratio of heights of the image and the object.
here is the image distance, and the object distance.
The image will not be created if the object is placed in the middle of the curvature or at the focal point.
Magnification’s absolute value will be greater than one.
The magnification will increase if you move the object closer to the lens. The image will also be real.
(A)
Part A.1
These diagrams are not correct
The rules of refraction apply to diverging lenses. Concave lenses have a focal length that is less than the focal length. Concave lenses should have the image on the same side as the object.
For these options B and D, the image is on opposite side of object. These diagrams do not apply.
The correct diagram is:
The rules of refraction apply to diverging lenses.
Option A fulfills the third rule. This means that a ray will continue in the same direction as it passes through the lens’ center.
Option A is considered to be an option.
(A)
(B)
The formula for the lens formula is:
The image is formed on the same side as the object, so the distance between the two should be negative.
Substitute HTMLMediaTag11 to
or HTMLMediaTag13 for .
(C)
Magnification can be described as:
Substitute HTMLMediaTag17 for
(D)
These are the wrong choices
* Move the object further from the lens.
* Move the object to the focal point of your lens.
* Do not move the object closer to the lens than the focal point.
When the object is near the focal point, no image will form. The image distance and height of the object closer to the lens than its focal point will decrease. If the object is further away from the lens, it will become less near the focal point. Image formation isn’t real. These options are therefore not applicable.
(D.1)
It is best to move the object closer to the lens.
The image will grow larger and farther away when the object is moved closer towards the lens.
The correct choice is now apparent.
Ans: Part A.1
The correct diagram is:
Part A.2
The correct diagram is:
Part B
.
Part C
is the magnification for concave lenses.
Part D.1
To get a greater magnification, the object should be moved closer towards the lens.
Conclusion
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