Exercise (Conceptual Questions)

A man is $180 \mathrm{cm}$ tall and his eyes are $10 \mathrm{cm}$ below the top of his head. In order to see this entire height right from top to head, he uses a plane mirror kept at a distance of $1 \mathrm{m}$ from him. The minimum length of the plane mirror is

Critical angle of light passing from glass to air is minimum for

An object is immersed in a fluid. In order that the object becomes invisible, it should

The angle of minimum deviation for a prism is $30°$ and the angle of prism is $60°$. The refractive index of the prism material is:

The angle of a prism is ‘$A$’. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence $2A$ on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index $n$, of the prism is:

A spherical surface of radius of curvature $R$ separates air (refractive index $1.0$) from glass (refractive index $1.5$). The centre of curvature is in the glass. A point-object P placed in air is found to have a real image $Q$ in the glass. The line $PQ$ cuts the surface at a point $O$ and $PO=OQ$. The distance $PO$ is equal to:

The magnifying power of the objective of a compound microscope is $7.$ If the magnifying power of microscope is $35,$ the magnifying power of eye lens will be:

A telescope has an objective lens of focal length $200 cm$ and an eye piece with focal length $2 cm$. If this telescope is used to see a $50 m$ tall building at a distance of $2 km$, what is the height of the image of the building formed by the objective lens?