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Power of the lens is -40, its focal length is         
  • a)
    4m         
  • b)
    -40m         
  • c)
    -0.25m         
  • d)
    -25m
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Power of the lens is -40, its focal length isa)4mb)-40mc)-0.25md)-25mC...
The power of a lens is the reciprocal of the focal length with measurement in metres. The unit is diopter.
It is given that the focal length of a convex lens is 10 cm = 0.1 m.
⇒ The power of the lens is 1/0.1= 10 diopter.
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Community Answer
Power of the lens is -40, its focal length isa)4mb)-40mc)-0.25md)-25mC...
Given data:
Power of the lens = -40

To find:
Focal length of the lens

Formula:
Power of the lens = 1/focal length
where,
Power of the lens = P
Focal length of the lens = f

Calculation:
Substituting the given values in the formula, we get
-40 = 1/f
f = -1/-40
f = 0.025 m or -25 cm

Therefore, the focal length of the lens is -25 cm.

Explanation:
A lens is a transparent material that refracts light and forms an image. The power of a lens is the ability of the lens to converge or diverge light. It is denoted by the letter P and is measured in diopters (D). The formula to calculate the power of a lens is given as P = 1/f, where f is the focal length of the lens in meters.

In this question, the power of the lens is given as -40 D. To find the focal length of the lens, we can use the above formula by substituting the given values. Solving the equation, we get the focal length of the lens as -25 cm or 0.025 m.

Negative sign in the focal length indicates that the lens is a diverging lens. A diverging lens is a lens that disperses light rays and forms a virtual image.
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