Question

Apply the mirror formula if focal length \( f = l \, \text{m} \) and object distance \( u = 15 \, \text{m}.\)

Hint:

The mirror formula is essential for determining the image distance when the object distance and focal length are known.

Answer 1

Step 1: Understanding the mirror formula.
The mirror formula relates the object distance (\( u \)), image distance (\( v \)), and focal length (\( f \)) of a mirror. It is given by: \[ \frac{1}{f} = \frac{1}{v} + \frac{1}{u} \] Rearranging the formula to solve for \( v \): \[ v = \frac{uf}{u - f} \] Step 2: Conclusion.
Thus, the image distance \( v \) can be calculated using the formula \( v = \frac{uf}{u - f} \). If \( f = l \) m and \( u = 15 \) m, we can substitute these values to find \( v \).