Question

A person is standing at a distance d from a thick plane mirror of thickness t and glass of refractive index $\mu$ as shown in figure. Person will see his image at distance $x$ from him, then $x$ is

• A. $2\left(\frac{d+t}{\mu }\right)$
• B. $2(d-\frac{t}{\mu })$
• C. $2(d+\frac{t}{\mu })$
• D. $2(d-\mu t)$

Answer 1

The correct option is C $2(d+\frac{t}{\mu })$


Due to slab shift
shift $=2t(1-\frac{1}{\mu })$

So $A{B}_{eff}=2(d+t)-2t(1-\frac{1}{\mu })$

$A{B}_{eff}=2(d+\frac{t}{\mu })$