Focal length: \( f = 20 \, \text{cm} \) Object distance: \( u = 100 \, \text{cm} \) (positive since it's in front of the lens) \end{itemize} Using the lens formula: \(\frac{1}{f} = \frac{1}{v} + \frac{1}{u}\) Substituting the known values: \(\frac{1}{20} = \frac{1}{v} + \frac{1}{100}\) Rearranging to solve for \( v \): \(\frac{1}{v} = \frac{1}{20} - \frac{1}{100}\) Finding a common denominator (100): \(\frac{1}{20} = \frac{5}{100}\) Thus, \(\frac{1}{v} = \frac{5}{100} - \frac{1}{100} = \frac{4}{100}\) Solving for \( v \): \(v = \frac{100}{4}\) = 25 cm