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It is the Reciprocal of Focal Length taken in m.
Power of lens = 1/Focal Length
P = 1/f
When Focal Length is Measured in meter (m)
Power is Measured in Dioptre (D)
To Summarise
Let's solve some examples
Suppose for a concave lens, focal length is 25 cm.What is the power of the lens?
We know that
Concave lens has negative focal length
Therefore
Focal Length = - 25 cm
= - 25/100 m = - 1/4 m
Now,
Power = 1/Focal length
= 1/(-1/4)
= -4 D
Note : - Focal Length of Convex Lens is Positive. So, Power of Convex lens is also Positive
Focal Length of Concave Lens is Negative. So, Power of Concave lens is also Negative
A person having a myopic eye uses a concave lens of focal length 50 cm. What is the power of the lens?
Definition of Focal Length
It is the measure of Degree of Convergence and Divergence of a Light Rays
Convex Lens Converges Parallel Rays of Light and Concave Lens Diverges Parallel rays of Light
Power of Lens is Defined as Reciprocal of Focal Length
Lesser the focal Length, More the Power
More the Focal Length, Less the Power
Power of Combination of Lens
If more than 1 one lens are used together, it is called Combination of Lens
Power of Combination of Lens is
Simple Algebraic sum of all the Lenses
Power of Combination of Lens = Power of Lens 1 + Power of Lens 2
P = P 1 + P 2
Questions
Question 1 Page 184 - Define 1 dioptre of power of a lens.
Question 2 Page 184 - A convex lens forms a real and inverted image of a needle at a distance of 50 cm from it. Where is the needle placed in front of the convex lens if the image is equal to the size of the object? Also, find the power of the lens
Question 3 Page 184 - Find the power of a concave lens of focal length 2 m.
NCERT Question 16 - Find the focal length of a lens of power – 2.0 D. What type of lens is this?
NCERT Question 17 - A doctor has prescribed a corrective lens of power +1.5 D. Find the focal length of the lens. Is the prescribed lens diverging or converging?
