Answer:
f = 14.28 m
Step-by-step explanation:
Given that,
Object distance, u = -50 m
The image distance from the lens, v = +20 m
We need to find the focal length of the lens. Let the focal length is f. Using the lens formula,
![(1)/(v)-(1)/(u)=(1)/(f)](https://img.qammunity.org/2022/formulas/physics/high-school/x8idq6miityg4jcsiikjait18uqk1s64zl.png)
Put all the values,
![(1)/(20)-(1)/((-50))=(1)/(f)\\\\f=14.28\ m](https://img.qammunity.org/2022/formulas/physics/high-school/wpi11rta3ufhv5pmbmwjss78k5aw06yrp3.png)
So, the focal length of the lens is equal to 14.28 m.