Science practice
Physics - Light & Optics Questions with Answers
Light and optics questions cover reflection, refraction, mirrors, lenses, refractive index, the human eye and common defects of vision, as in NCERT classes 8 and 10. RRB Group D, ALP, NTPC and SSC papers ask which mirror or lens is used in a device, the nature of an image, the unit of power of a lens, or a short numerical on the mirror formula. Tip: learn the sign convention once, since most numerical mistakes come from wrong signs.
Formulas and key facts
- Law of reflection: angle of incidence = angle of reflection
- Mirror formula: 1/v + 1/u = 1/f, and f = R/2
- Magnification m = h'/h = -v/u
- Lens formula: 1/v - 1/u = 1/f
- Power of a lens P = 1/f (f in metres); unit dioptre (D)
- Refractive index n = speed of light in vacuum / speed of light in medium = sin i / sin r
- Speed of light in vacuum c = 3 × 10⁸ m/s
- Concave mirror and convex lens are converging; convex mirror and concave lens are diverging
- Convex mirror always gives a virtual, erect, diminished image (used as a rear-view mirror)
- Total internal reflection needs light to go from a denser to a rarer medium at an angle greater than the critical angle
- Myopia (short-sightedness) is corrected by a concave lens; hypermetropia by a convex lens
- White light splits into seven colours on passing through a prism (dispersion)
Worked examples
Q1. The speed of light in glass is 2 × 10⁸ m/s. Find the refractive index of the glass. (Speed of light in vacuum = 3 × 10⁸ m/s.)
- n = c / v.
- n = (3 × 10⁸) / (2 × 10⁸) = 1.5.
Answer: 1.5 (no unit, it is a ratio)
Q2. A lens has a focal length of 50 cm. Find its power and state whether it is converging or diverging if the focal length is positive.
- Convert focal length to metres: f = 50 cm = 0.5 m.
- P = 1 / f = 1 / 0.5 = 2.
- Positive power means a convex (converging) lens.
Answer: +2 D, a convex (converging) lens
Q3. An object is placed 30 cm in front of a concave mirror of focal length 20 cm. Find the image distance and the magnification.
- Use the Cartesian sign convention: u = -30 cm, f = -20 cm.
- 1/v = 1/f - 1/u = -1/20 + 1/30 = (-3 + 2)/60 = -1/60, so v = -60 cm.
- m = -v/u = -(-60)/(-30) = -2.
- Negative v means the image is in front of the mirror (real); negative m means it is inverted; the size is 2 times the object.
Answer: Image at 60 cm in front of the mirror; m = -2 (real, inverted, magnified 2 times)
Shortcuts that save time
- Convert focal length to metres before using P = 1/f. Many wrong options are the value left in centimetres, and picking one costs marks.
- For a mirror, f = R/2 saves a step: a radius of curvature of 30 cm means a focal length of 15 cm. The focus is the midpoint between the pole and the centre of curvature.
- For device questions, memorise three pairs instead of reasoning each time: rear-view mirror is convex, doctor's head mirror and torch reflector are concave, and a magnifying glass is a convex lens. Skip a doubtful option rather than guess.
Where this appears
| RRB Group D | General Science section |
| RRB ALP | General Science section |
| RRB NTPC | General Awareness section |
| SSC CGL | General Awareness section |
Physics - Light & Optics
Practice SetScience · stress-free practice · answers reveal instantly
Physics - Light & Optics questions with answers
10 sample questions from this topic with the correct option and the solution.
Q1. The blue colour of the sky appears due to:
- refraction of light by air molecules
- scattering of shorter wavelength of sunlight by air molecules
- absorption of blue light by air molecules
- reflection of light by air molecules
Answer: (B) scattering of shorter wavelength of sunlight by air molecules
Solution
Sunlight contains all colours, and air molecules are much smaller than the wavelength of light. By Rayleigh scattering, shorter wavelengths such as blue are scattered far more strongly than longer wavelengths (scattering is proportional to 1/wavelength4). This scattered blue light reaches our eyes from all directions, so the sky looks blue. Hence the answer is scattering of shorter wavelength of sunlight by air molecules.Q2. The capacity of the lens is defined as the inversion of its ________.
- Focal Length
- Radius of curvature
- Main axis
- Curvature
Answer: (A) Focal Length
Solution
The power (capacity) of a lens is its ability to converge or diverge light. It is defined as the reciprocal (inverse) of its focal length, P = 1/f, with f in metres and power in dioptres. So the capacity of a lens is the inverse of its focal length.Q3. The correct relation between v, u, and f for a spherical mirror is:
- 1 1 1 f + u = v
- 1 1 1 = − f v u
- 1 1 1 = + f u v
- v = u + f
Answer: (C) 1 1 1 = + f u v
Solution
For a spherical mirror, the mirror formula relates the image distance v, object distance u and focal length f. It states that 1/f = 1/u + 1/v. This is the correct relation among the given choices.Q4. The crystalline lens of the eye mainly helps in:
- Detecting colour of objects
- Sending signals to the brain
- Providing fine adjustment of focal length
- Controlling the amount of light entering the eye
Answer: (C) Providing fine adjustment of focal length
Solution
In the eye, most of the bending of light occurs at the cornea. The crystalline lens changes its curvature with the help of ciliary muscles, which alters its focal length slightly. This fine adjustment lets the eye focus objects at different distances sharply on the retina. Hence it provides fine adjustment of focal length.Q5. The defect of hypermetropia can be corrected by using which of the following?
- Cylindrical lens
- Prism
- Concave lens
- Convex lens
Answer: (D) Convex lens
Solution
In hypermetropia (far-sightedness), the eye focuses the image of a near object behind the retina because the eyeball is too short or the lens is too weak. A convex lens converges the light rays before they enter the eye, so the image forms on the retina. Hence a convex lens corrects hypermetropia.Q6. The defect in which a person cannot see distant objects clearly but can see nearby objects is called ___________.
- myopia
- hypermetropia
- astigmatism
- presbyopia
Answer: (A) myopia
Solution
Myopia (short-sightedness) is the defect in which a person can see nearby objects clearly but cannot see distant objects clearly. The image of a distant object forms in front of the retina. It is corrected using a concave lens.Q7. The danger signal lights are usually red in colour because red is:
- not scattered at all by fog or smoke
- highest reflected by fog or smoke
- least scattered by fog or smoke
- highest scattered by fog or smoke
Answer: (C) least scattered by fog or smoke
Solution
Red light has the longest wavelength among visible colours. Since scattering is inversely proportional to the fourth power of wavelength, red is scattered the least by fog or smoke particles. So it travels farthest through them and remains visible from a distance, which is why danger signals are red.Q8. The correct sign conventions for focal length (f) and radius of curvature (R) for the formation of images by spherical mirrors is:
- for convex mirror f is negative, R is negative
- for concave mirror f is negative, R is negative
- for convex mirror f is negative, R is positive
- for concave mirror f is positive, R is negative
Answer: (B) for concave mirror f is negative, R is negative
Solution
By the new Cartesian sign convention, distances are measured from the pole, and those in the direction of the incident light are positive, while those opposite to it are negative. The centre of curvature and focus of a concave mirror lie in front of the mirror, against the direction of incident light, so both f and R are negative for a concave mirror. For a convex mirror both are positive.Q9. The area of the retina where the vision is highest is-
- Vitreous body
- Blind spot
- Choroid
- Fovea
Answer: (D) Fovea
Solution
The fovea is a small central depression in the macula of the retina. It is packed densely with cone cells and has almost no rods, which gives the sharpest and most detailed vision. The blind spot has no photoreceptors, while the vitreous body and choroid are not light-sensing regions.Q10. The band of seven colours obtained on a screen due to dispersion is called _________.
- Shadow
- Spectrum
- Reflection pattern
- Image
Answer: (B) Spectrum
Solution
When white light passes through a prism, it splits into its seven constituent colours (VIBGYOR). This phenomenon is called dispersion. The band of seven colours formed on a screen is called a spectrum.