Correct Answer: (c) +4 Dioptre
Solution:We define the power of a lens as the reciprocal of the focal length of the lens. So, the power of the lens is expressed as P = 1/f
Where f is the focal length and is expressed in meters.
So, the unit of power of the lens is expressed in m⁻¹. This is also expressed as diopter.
As we know that the focal length of a convex lens is taken as in positive sign and the focal length of a concave lens is taken negatively. So, the power of a convex lens is positive, and the power of a concave lens is negative.
In this question, it is given that the lens is convex, and its focal length is 25cm. First, we will convert the focal length into meters.
⇒ 25cm = 0.25m ⇒ 25cm = 0.25m
Now, substituting the value of focal length in the formula of power of lens we get
P = 1/0.25 m⁻¹
⇒ P = 4 m⁻¹
m⁻¹ is also expressed as diopters or D
As it is a convex lens so its power is positive.
Thus, the power of the lens is + 4D.