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Power of convax lens is 5 D and the power of concave lens is 2 D. What will the power of combination of these lenses when placed in contact ?
- a)+5 D
- b)+30 D
- c)-7 D
- d)+3 D
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Power of convax lens is 5 D and the power of concave lens is 2 D. What...
You may know that the power of convex lens is in (+) and that of concave is in (-).
here we have:-
power of convex lens= +5D and
power of concave lens= -2D
So, power of combination will be:-
power of convex lens + power of concave lens
=+5D + (-2D)
=+3D
hence option D(+3D) is correct answer..
Thank you.. :-)
here we have:-
power of convex lens= +5D and
power of concave lens= -2D
So, power of combination will be:-
power of convex lens + power of concave lens
=+5D + (-2D)
=+3D
hence option D(+3D) is correct answer..
Thank you.. :-)
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Community Answer
Power of convax lens is 5 D and the power of concave lens is 2 D. What...
Combination of Convex and Concave Lenses
Given that the power of the convex lens is 5 D and the power of the concave lens is 2 D. We need to find out the power of the combination of these lenses when placed in contact.
Formula for calculating the power of a lens
The power of a lens is given by the formula:
P = 1/f
Where P is the power of the lens in dioptres (D) and f is the focal length of the lens in meters.
Calculating the focal length of the convex lens
We know that the power of the convex lens is 5 D. Let us assume that the focal length of the convex lens is f1.
Using the formula for calculating the power of a lens, we get:
5 = 1/f1
f1 = 1/5
f1 = 0.2 m
Calculating the focal length of the concave lens
We know that the power of the concave lens is 2 D. Let us assume that the focal length of the concave lens is f2.
Using the formula for calculating the power of a lens, we get:
-2 = 1/f2
f2 = -1/2
f2 = -0.5 m
Calculating the power of the combination of lenses
When the two lenses are placed in contact, the effective focal length of the combination is given by:
1/f = 1/f1 + 1/f2
Substituting the values of f1 and f2, we get:
1/f = 1/0.2 - 1/0.5
1/f = 5 - 2
1/f = 3
Therefore, the power of the combination of lenses is:
P = 1/f
P = 1/3
P = 0.33 D
Hence, the correct answer is option D, i.e., 3 D.
Given that the power of the convex lens is 5 D and the power of the concave lens is 2 D. We need to find out the power of the combination of these lenses when placed in contact.
Formula for calculating the power of a lens
The power of a lens is given by the formula:
P = 1/f
Where P is the power of the lens in dioptres (D) and f is the focal length of the lens in meters.
Calculating the focal length of the convex lens
We know that the power of the convex lens is 5 D. Let us assume that the focal length of the convex lens is f1.
Using the formula for calculating the power of a lens, we get:
5 = 1/f1
f1 = 1/5
f1 = 0.2 m
Calculating the focal length of the concave lens
We know that the power of the concave lens is 2 D. Let us assume that the focal length of the concave lens is f2.
Using the formula for calculating the power of a lens, we get:
-2 = 1/f2
f2 = -1/2
f2 = -0.5 m
Calculating the power of the combination of lenses
When the two lenses are placed in contact, the effective focal length of the combination is given by:
1/f = 1/f1 + 1/f2
Substituting the values of f1 and f2, we get:
1/f = 1/0.2 - 1/0.5
1/f = 5 - 2
1/f = 3
Therefore, the power of the combination of lenses is:
P = 1/f
P = 1/3
P = 0.33 D
Hence, the correct answer is option D, i.e., 3 D.
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Power of convax lens is 5 D and the power of concave lens is 2 D. What will the power of combination of these lenses when placed in contact ?a)+5 Db)+30 Dc)-7 Dd)+3 DCorrect answer is option 'D'. Can you explain this answer?
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Power of convax lens is 5 D and the power of concave lens is 2 D. What will the power of combination of these lenses when placed in contact ?a)+5 Db)+30 Dc)-7 Dd)+3 DCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Power of convax lens is 5 D and the power of concave lens is 2 D. What will the power of combination of these lenses when placed in contact ?a)+5 Db)+30 Dc)-7 Dd)+3 DCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Power of convax lens is 5 D and the power of concave lens is 2 D. What will the power of combination of these lenses when placed in contact ?a)+5 Db)+30 Dc)-7 Dd)+3 DCorrect answer is option 'D'. Can you explain this answer?.
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