Ray Optics and Optical Instruments

A light ray travels from air ($n = 1$) to a transparent plastic block with $n = 1.5$. If the speed of light in air is $3 \times 10^8$ m/s, what is its speed inside the plastic?

Which of the following optical phenomena is primarily responsible for the 'brilliance' of a diamond?

The critical angle for a specific glass is $30^\circ$. What is the refractive index of this glass?

A plano-convex lens is made of glass with a refractive index of $1.5$. If the radius of curvature of the convex surface is $R$, what is its focal length $f$ in air?

According to the Cartesian sign convention, what are the signs of the radii of curvature $R_1$ and $R_2$ for a standard double convex lens (light traveling from left to right)?

If a biconvex lens made of glass ($\mu = 1.5$) is immersed in water ($\mu = 1.33$), how does its focal length change compared to its focal length in air?

When a prism is in the position of minimum deviation, which of the following statements is true for an equilateral glass prism?

In the process of refraction through a prism, the relationship between the prism angle ($A$) and the internal angles of refraction ($r_1$ and $r_2$) is given by:

For a prism with angle $A$, which of the following relations correctly connects the angle of incidence ($i$), angle of emergence ($e$), and the angle of deviation ($\delta$)?

An astronomical telescope is in normal adjustment (final image at infinity). If the focal length of the objective is $100\text{ cm}$ and that of the eyepiece is $5\text{ cm}$, the length of the telescope tube is:

For a compound microscope, which of the following is generally true regarding the focal lengths of the objective ($f_o$) and the eyepiece ($f_e$)?

In a compound microscope, the nature of the final image formed with respect to the original object is: