A mirror used for rear-view of an automobile has a focal length 2.0 m. If a car is located at 8.0 m from the mirror - (a) Find out the position of…

(a) \(\displaystyle \mathrm{f}=+2 \mathrm{~m} \quad \mathrm{u}=-8 \mathrm{~m}\) \[\begin{aligned} & \frac{1}{v}+\frac{1}{u}=\frac{1}{f} \\ & \frac{1}{v}=\frac{1}{f}-\frac{1}{u} \\ & \frac{1}{v}=\frac{1}{2}+\frac{1}{8} \\ & v=\frac{8}{5}=1.6 \mathrm{~m} \end{aligned} \] The image is formed $\displaystyle 1.6$ m behind the mirror