The radius of the curvature of the mirror is 20cm the concave lens has a focal length of 16.7cm
a. Where is the light that travels first to the mirror and then to the lens finally imaged
b. Where is the light finally imaged that travels first to the lens
To determine the location of the image formed by the mirror and lens system, we can use the mirror and lens formula.
a. Firstly, consider the light traveling from the object towards the mirror. Since the mirror is concave with a radius of curvature of 20 cm, the focal length (f) would be half of the radius, which is 10 cm.
Using the mirror formula:
1/f = 1/v - 1/u
Where:
f = focal length of the mirror
v = image distance from the mirror
u = object distance from the mirror
Since we are looking for the location of the image after passing through both the mirror and the lens, and the light travels first to the mirror, we can consider the image formed by the mirror (v1) as the object for the lens.
Now, let's calculate the object distance (u1) for the lens. Since the image formed by the mirror acts as the object for the lens, the distance between the lens and the image formed by the mirror would be the object distance for the lens.
Using the lens formula:
1/f = 1/v - 1/u
Where:
f = focal length of the lens
v = image distance from the lens
u = object distance from the lens
Given that the focal length of the lens is 16.7 cm, and we know the image distance (v1) after the mirror, we can calculate the object distance (u1) for the lens using the lens formula.
Using these two formulas and considering the image formed by the mirror (v1) as the object for the lens, we can calculate the final image distance (v2).
b. In this case, the light first travels to the lens. Since the lens has a focal length of 16.7 cm, we can use the lens formula to calculate the image distance (v) when the object distance (u) is known.
Given the object distance (u) and the focal length (f) of the lens, we can substitute these values into the lens formula to calculate the image distance (v).
Keep in mind that for both cases, positive values for image distance indicate a real image, while negative values indicate a virtual image.