Vardaan International Academy
Class: XII
Subject: Physics(082)
Worksheet (Ray Optics and Wave Optics)
Q1. A biconvex lens made of glass has radii of curvature 10 cm and 15 cm; its focal
length is 12 cm. Calculate the refractive index of the material of the lens.
Q2. A ray of light passes through an equilateral prism (n = √3), emerging parallel to its
base. Find the angle of incidence.
Q3. In an equilateral triangular glass prism, the angle of minimum deviation occurs
when the incident angle is three-fourths of the prism angle. Find the speed of light
in the prism.
Q4. You are given two converging lenses of focal lengths 1.25 cm (objective) and 5 cm
(eyepiece). To have a total magnification of 30 when the final image is at infinity,
what should be the separation between the objective and the eyepiece?
Q5. A compound microscope has an objective lens of focal length 2 cm and an
eyepiece of focal length 5 cm . An object is placed 2.1 cm in front of the objective.
The final image is formed at the least distance of distinct vision (25 cm) from the
eyepiece. Find the total magnifying power (i.e., the angular magnification) of the
compound microscope.
Q6. A compound microscope has an objective lens of focal length 1.25 cm and an
eyepiece of focal length 5 cm. A small object is placed 2.5 cm from the objective. If
the final image is formed at the least distance of distinct vision (25 cm).
(a) Calculate the total magnifying power of the microscope.
(b) Find the tube length (distance between the objective and eyepiece).
Q7. A small telescope has objective focal length 150 cm and eyepiece focal length 5
cm. What is its magnifying power when used for viewing distant objects.
Q8. In Young's double slit experiment, the screen is kept at a distance of 1.2 m from the
plane of the slits. The two slits are separated by 5 mm and illuminated with
monochromatic light having
wavelength 600 nm. Calculate:
(i) Fringe width i.e., fringe separation of the interference pattern.
(ii) Position of 10th bright fringe from the centre
Q9. A monochromatic light of wavelength 6000 Å illuminates two narrow slits 0.3 mm
apart producing an interference on a screen 75 cm away. Calculate the separation
between (i) The second bright fringe and the central bright fringe.
(ii) The second dark fringe and the central bright fringe.
Q10. Draw the wave fronts for the light wave coming from infinity. Prove the law of
reflection.