What will be the focal length of a convex lens whose power is 1.5 D ? 

  1. + 1.5 m
  2. + 66.6 cm
  3. – 66.6 cm 
  4. – 1.5 m

Answer (Detailed Solution Below)

Option 2 : + 66.6 cm
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Detailed Solution

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CONCEPT:

  • Power of Lens: The inverse of the focal length is known as the power of the lens.
    • It shows the bending strength for the light ray of the lens.
    • The unit of power of a lens is Dioptre when the focal length of the lens is taken in meter (m).

\(P = \frac{1}{f}\)

where P is the power of the lens and f is the focal length of the lens.

  • Concave lens: It is a diverging lens that diverges the parallel beam of light.
    • It can also gather light from all directions and project it as a parallel beam.
    • The focal length of the concave lens is negative.
    • It has a virtual focus from the diverging rays of light that seem to converge.
  • Convex lens: The lens whose refracting surface is upside is called a convex lens.
    • The convex lens is also called a converging lens.
    • The focal length of a convex lens is positive.

CALCULATION:

Given that P = 1.5 D 

Focal length (f) = 1/P = 1/(1.5) = 1/1.5 = 0.666 m = 66.6 cm

The focal length of a convex lens is positive.

So the correct answer is option 2.

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