C
CraftExam
medium importancemedium difficulty4 min

Power Of Lens

Power of a lens is the measure of how strongly it converges or diverges light.

In one line: Shorter focal length means stronger power.

Practice This Concept

Understand it

Power is the reciprocal of focal length in metres: P = 1/f. A convex lens has positive power because it converges light, while a concave lens has negative power because it diverges light. The unit is dioptre.

Example

A lens with focal length 0.5 m has power +2 D.

Formula and rule

Power of lens P = 1/f, where f is in metres.

Unit: dioptre (D).

See it worked out

Follow the example line by line, then use the same method on new questions.

Worked example

  1. 1For f = 0.5 m, P = 1/0.5 = +2 D for a convex lens.
  2. 2If the lens were concave, the sign would be negative.

Method you can reuse

  1. 1Convert focal length to metres.
  2. 2Use P = 1/f.
  3. 3Assign sign according to lens type.
  4. 4State the unit dioptre.

Sketch it in your answer

Show a convex or concave lens, focal points, and the direction in which the lens brings rays together or spreads them apart.

Check yourself

Answer the question in your head before opening the answer.

Try it yourself

What is the power of a convex lens with focal length 50 cm?

Think first, then show answer
The power is +2 D because 50 cm = 0.5 m, and power equals 1 divided by focal length in metres.

Common wrong answer

Leaving focal length in centimetres and writing 1/50 as the answer. The unit would then be incorrect.

Don't mix this up

Students forget to convert centimetres into metres before finding power.

Exam tip

Always write the sign of power with the lens type: convex positive, concave negative.

Write it in the exam

Each point is worth about one mark. Write point 1 for a 1-mark question and keep adding points as the marks go up.

How CBSE asks it

Questions may ask you to calculate power from focal length, compare lens strength, or identify lens type from the sign.
  1. 1

    Enough for 1 mark

    Power of a lens is the measure of how strongly it converges or diverges light.

  2. 2

    Add for 2 marks

    Example: A lens with focal length 0.5 m has power +2 D.

  3. 3

    Add for 3 marks

    For f = 0.5 m, P = 1/0.5 = +2 D for a convex lens.

MCQ Quiz

Practice this concept with focused MCQs

Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.

10 MCQs5 MinutesInstant Results
Practice This Concept

Help improve this page

Found something confusing, incorrect, or missing?