Ray Optics and Optical Instruments — Prelims Questions

An object is placed at a distance of $15,\text{cm}$ from a concave mirror of focal length $10,\text{cm}$. What is the nature and position of the image formed?

A ray of light passes from air ($n_1 = 1$) into a medium with refractive index $n_2 = sqrt{2}$. If the angle of incidence is $45^circ$, what is the angle of refraction?

A convex lens of focal length $20,\text{cm}$ is placed in contact with a concave lens of focal length $40,\text{cm}$. What is the power of the combination?

Which of the following phenomena is responsible for the sparkling of a diamond?

A person cannot see objects clearly beyond $2,\text{m}$. What type of lens and power is required to correct this vision defect?

In a compound microscope, the intermediate image formed by the objective lens is: