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A person suffering from myopia can see upto 3m.The power of lens required to rectify is
- a)-1.75 D
- b)-4.00 D
- c)-0.33 D
- d)-3.33 D
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A person suffering from myopia can see upto 3m.The power of lens requi...
Given ,v = -3m or -300cm
u = -infinity
f = ?
according to lens formula ,
1/f = 1/v - 1/u
1/f = -1/300 - (-1/infinity)
1/f = -1/300 + 1/infinity
focal length = -300 cm or -3metre
now,
power = 1/focal length(metre)
power = -1/3
power = -0.33 dioptre
u = -infinity
f = ?
according to lens formula ,
1/f = 1/v - 1/u
1/f = -1/300 - (-1/infinity)
1/f = -1/300 + 1/infinity
focal length = -300 cm or -3metre
now,
power = 1/focal length(metre)
power = -1/3
power = -0.33 dioptre
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Most Upvoted Answer
A person suffering from myopia can see upto 3m.The power of lens requi...
Solution:
Given, the distance up to which a person suffering from myopia can see is 3m.
We know that myopia is a condition in which a person can see nearby objects clearly but cannot see distant objects. This happens due to the elongation of the eyeball or the excessive curvature of the cornea. Due to this, the image of the object is formed in front of the retina instead of on the retina.
To rectify this, a concave lens is used. A concave lens diverges the light rays and moves the image backward, so that it forms on the retina. The power of the concave lens required to rectify myopia is given by the formula:
Power of lens = -1 / focal length
Here, the distance up to which the person can see is given, which is 3m. To find the focal length, we need to take the reciprocal of it.
Focal length = 1 / 3 = 0.33m
Now, substituting the value of focal length in the above formula, we get:
Power of lens = -1 / 0.33 = -3.03 ≈ -0.33 D
Therefore, the power of the lens required to rectify myopia is -0.33 D, which is option C.
Given, the distance up to which a person suffering from myopia can see is 3m.
We know that myopia is a condition in which a person can see nearby objects clearly but cannot see distant objects. This happens due to the elongation of the eyeball or the excessive curvature of the cornea. Due to this, the image of the object is formed in front of the retina instead of on the retina.
To rectify this, a concave lens is used. A concave lens diverges the light rays and moves the image backward, so that it forms on the retina. The power of the concave lens required to rectify myopia is given by the formula:
Power of lens = -1 / focal length
Here, the distance up to which the person can see is given, which is 3m. To find the focal length, we need to take the reciprocal of it.
Focal length = 1 / 3 = 0.33m
Now, substituting the value of focal length in the above formula, we get:
Power of lens = -1 / 0.33 = -3.03 ≈ -0.33 D
Therefore, the power of the lens required to rectify myopia is -0.33 D, which is option C.
Community Answer
A person suffering from myopia can see upto 3m.The power of lens requi...
Let p=(-3). (focal length of a concave mirror is -ve) p=1/f p=1/(-3) p=0.33D
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A person suffering from myopia can see upto 3m.The power of lens required to rectify isa)-1.75 Db)-4.00 Dc)-0.33 Dd)-3.33 DCorrect answer is option 'C'. Can you explain this answer?
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