Given: Radius of curvature,
R=20cmSo, focal length, f=R/2=−10cm
For part AB,PB=30+10=40cm
So, u=−40cm⇒1v=1f−1u=−110−(1−40)=−340
⇒v=−403=−13.3cm.
So, PB′=13.3cm
m=A′B′AB=−(vu)=−(−13.3−40)=−13.
⇒A′B′=−10/3=−3.33cm
For part CD,PC=30, So u=−30cm
1v=1f−1u=−110−(−130)=−115⇒v=−15cm=PC′
So, m=C′D′CD=−vu=−(−15−30)=−12.
⇒C′D′=5cm
B′C′=PC′−PB′=15−13.3=17cm
So, total length A′B′+B′C′+C′D′=3.3+1.7+5=10cm.