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

Q. A point object O is placed in front of a transparent slab at a distance x from its closer surface. It is seen from the other side fo the slab by light incident nearly normally to the slab. The thickness of the slab is t and its refractive index is $\mu .$ Show that the apparent shift in the position fo the object is independent of x and find its value.

Q. A flat glass slab of thickness 6 cm and refractive index 1.5 is placed in front of a plane mirror. An observer is standing behind the glass slab and looking at the mirror. The actual distance of the observer from the mirror is 50 cm. The distance of his image from himself, as seen by the observer is

Q. A point object is placed at a distance of $25cm$ from a convex lens of focal length $20cm$. If a glass slab of thickness $t$ and refractive index $1.5$ is inserted between the lens and the object, the image is formed at infinity. The thickness $t$ is

Q. A glass slab of thickness t and refractive index $\mu$. Calculate the time taken by light to travel this thickness.

Q. A point object is placed at a distance $25cm$ from a convex lens of focal length $20cm$. If a glass slab of thickness $t$ and refractive index $1.5$ is inserted between the lens and object, image is formed at. Thickness $t$ is found to be $K$ times of $5cm$. Find $K$.