Question

Using the sign convention with \[OB = -u\] and \[DI = +v\] in the combined refraction equation for a thin lens gives:

Options

• \[\frac{1}{v}+\frac{1}{u}=\frac{1}{f}\]

• \[\frac{1}{u}-\frac{1}{v}=\frac{1}{f}\]

• \[\frac{1}{v}=\frac{1}{u}\cdot\frac{1}{f}\]

• \[\frac{1}{v}-\frac{1}{u}=\frac{1}{f}\]

Answer 1

Applying the sign convention \[OB = -u\] and \[DI = +v\] to the combined equation for the thin lens converts it into the Thin Lens Formula \[\frac{1}{v}-\frac{1}{u}=\frac{1}{f}\]. This formula relates the object distance, image distance, and focal length.