1 Answer

Roman Semko · Answer 1 · 2024-01-02T14:16:47+0000

Use the following formula:

where,

f: focal length of the mirror = 1.5 cm (positive because it is concave)

so: object distance = 3.0cm

si: image distance = ?

Solve the equation above for si:

$\begin{gathered} (1)/(s_i)=(1)/(f)-(1)/(s_o)=(s_o-f)/(f\cdot s_o) \\ s_i=(f\cdot s_o)/(s_o-f) \end{gathered}$

Then, replace the values of the given parameters and simplify:

$s_i=\frac{(1.5cm)(3.0cm)}{3.0\operatorname{cm}-1.5\operatorname{cm}}=\frac{4.5\operatorname{cm}^2}{1.5\operatorname{cm}}=3.0\operatorname{cm}$

Hence, the image distance is 3.0cm

Please log in or register to add a comment.