Optics

Physics · Heat, electricity and light. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

Ray optics treats light as straight lines. At a surface the ray is reflected at an equal angle, and it is refracted because its speed changes: it bends towards the normal on entering a denser medium. Going from dense to rare beyond the critical angle, all the light is reflected. Mirrors and thin lenses obey one formula linking object distance, image distance and focal length.

Wave optics explains what rays cannot. Interference needs coherent sources, which have a constant phase difference; two separate lamps do not give fringes. Diffraction is the spreading of light at a slit or edge. Polarisation shows that light is a transverse wave.

Rules to remember

Common mistake

Forgetting the sign of a virtual image. If 1/v comes out negative, the image is virtual and upright (for a lens, on the same side as the object; for a mirror, behind it); do not drop the minus sign.

Worked example

An object is placed 10 cm from a converging lens of focal length 15 cm. Find the position, nature and magnification of the image.

  1. 1/v = 1/f − 1/u = 1/15 − 1/10 = (2 − 3)/30 = −1/30.
  2. v = −30 cm: the minus sign means a virtual image on the same side as the object.
  3. Magnification = 30 ÷ 10 = 3, and a virtual image from a single lens is upright.

Answer: A virtual, upright image 30 cm from the lens, magnified 3 times.

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