JEE Main 2022 · 25 July · morning · Single correct · +4 / −1

Which of the following statement is correct?

  1. (a) In primary rainbow, observer sees red colour on the top and violet on the bottom
  2. (b) In primary rainbow, observer sees violet colour on the top and red on the bottom
  3. (c) In primary rainbow, light wave suffers total internal reflection twice before coming out of water drops.
  4. (d) Primary rainbow is less bright than secondary rainbow.
Answer and solution

Answer (a) In primary rainbow, observer sees red colour on the top and violet on the bottom

Solution

Physics sir · 3 steps

Picture the angles from the drop: red leaves the primary bow at 42°, violet at 40°, so red sits higher.

  1. Inside one drop. In a primary rainbow, sunlight refracts into a raindrop, reflects once off the back surface, and refracts out again. Water bends violet more than red, so the colours leave at slightly different angles.
  2. Which colour on top. Measured from the line through the observer's head and away from the Sun, red returns at about 42° and violet at about 40°. A larger angle means higher in the sky, so red forms the outer, top edge and violet the inner, bottom edge.
    FeaturePrimary rainbowSecondary rainbow
    Reflections inside the droponetwo
    Angle for red and violetred ≈ 42°, violet ≈ 40°red ≈ 50°, violet ≈ 53°
    Colour orderred on top, violet at the bottomviolet on top, red at the bottom
    Brightnessbrighterfainter, because more light is lost at the extra reflection
  3. So. Only (a) is correct: in the primary rainbow the observer sees red at the top and violet at the bottom.

The idea to keep. Primary bow: one reflection, red outside, brighter. Secondary bow: two reflections, colours reversed, fainter. Every extra reflection costs light and flips the colour order.

Answer from the NTA final answer key. Solution by PrepWiser.

Study Ray Optics

Asked about 200 times in JEE Main since 2020. This question is from 2022.