Final answer:
To find the magnification of the system, we can use the formula: Magnification = Final Image Height / Object Height. Using the lens formula for the convex lens and the concave lens, we can determine the position of the final image. The total magnification of the system can be calculated by multiplying the magnification of the convex lens and the magnification of the concave lens.
Step-by-step explanation:
(a) To find the magnification of the system, we can use the formula:
Magnification = Final Image Height / Object Height
Since the object is 30 cm in front of the convex lens, the image formed by the convex lens will be virtual and will not be formed on the other side. Therefore, the height of the image formed by the convex lens will be negative.
(b) Using the lens formula for the convex lens: 1/f = 1/v - 1/u
Where f is the focal length of the convex lens, v is the distance of the image formed by the convex lens from the lens, and u is the distance of the object from the convex lens.
For the concave lens, we can use the same lens formula but the focal length will be negative since it is a concave lens.
The position of the final image can be determined by finding the image distance of the concave lens and calculating the distance from the concave lens.
(c) The total magnification of the system can be calculated by multiplying the magnification of the convex lens and the magnification of the concave lens.