Given: The lens is formed by combining two plano-convex parts with refractive indices μ1=1.5 and μ2=1.2. Their radii are R1=15cm and R2=12cm. The object is placed at u=−30cm.
Find: The magnification of the image.
Using the thin lens combination idea given in the solution:
f1=(1.5−1)151+(1.2−1)121
So,
f1=150.5+120.2=301+601=201
Hence,
f=20cmNow apply the lens formula used in the solution:
v1−u1=f1
Substituting u=−30cm and f=20cm,
v1−(−30)1=201
v1=201−301=601
Therefore,
v=60cmThe magnification is
m=uv=−3060=−2
the solution then states: Considering sign convention and thickness correction,
m≈−2.5
This matches option A. There is a discrepancy because the direct thin-lens calculation gives −2, but the provided solution concludes −2.5 and identifies A as correct.
Therefore, according to the provided the solution, the correct option is A, and the magnification is −2.5.