Question

An object that is 15 cm tall is placed 44 cm in front of a diverging lens. A virtual image appears -14cm in front of the lens. determine the focal length of the lens .

SHOW YOUR WORK.
A) 0.09cm
B)-20.53cm
C)10.6cm
D)-0.04cm

Answer 1

The correct option is (b).

Step-by-step explanation:

Given that,

The height of the object, h = 15 cm

Object distance, u = -44 cm

Image distance, v = -14 cm

We need to find the focal length of the lens. Using the lens formula.

`(1)/(f)=(1)/(v)-(1)/(u)\\\\(1)/(f)=(1)/((-14))-(1)/((-44))\\\\f=-20.53\ cm`

So, the focal length of the lens (-20.53 cm).