Class 10 Exam > Class 10 Questions > If the person uses spectacles of power + 1.0 ...
Start Learning for Free
If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?
- a)+298cm
- b)300cm
- c)-298cm
- d)-300cm
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 ...
∵ Near point = 75 cm and Power of lens = + 1 D
∴ P = 100 / f ( in cm )
f = 100 / P
= 100 / 1
= 100 cm
The distance of distinct vision v can be found as below.
Using lens formula here ,
1/f = 1/v - 1/u
⇒ 1/v = 1/f + 1/u
= 1 / 100 + 1 / - 75 = 3 - 4 / 300
= - 1 / 300
v = ₋300 cm
= - 3m ( in meters)
∴ P = 100 / f ( in cm )
f = 100 / P
= 100 / 1
= 100 cm
The distance of distinct vision v can be found as below.
Using lens formula here ,
1/f = 1/v - 1/u
⇒ 1/v = 1/f + 1/u
= 1 / 100 + 1 / - 75 = 3 - 4 / 300
= - 1 / 300
v = ₋300 cm
= - 3m ( in meters)
Most Upvoted Answer
If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 ...
Justification:
∵ Near point = 75 cm and Power of lens = + 1 D
∴ P = 100 / f ( in cm )
f = 100 / P
= 100 / 1
= 100 cm
The distance of distinct vision v can be found as below.
Using lens formula here ,
1/f = 1/v - 1/u
⇒ 1/v = 1/f + 1/u
= 1 / 100 + 1 / - 75 = 3 - 4 / 300
= - 1 / 300
v = ₋300 cm
= - 3m ( in meters)
∵ Near point = 75 cm and Power of lens = + 1 D
∴ P = 100 / f ( in cm )
f = 100 / P
= 100 / 1
= 100 cm
The distance of distinct vision v can be found as below.
Using lens formula here ,
1/f = 1/v - 1/u
⇒ 1/v = 1/f + 1/u
= 1 / 100 + 1 / - 75 = 3 - 4 / 300
= - 1 / 300
v = ₋300 cm
= - 3m ( in meters)
Free Test
| FREE | Start Free Test |
Community Answer
If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 ...
Explanation:
To calculate the nearest distance of distinct vision for a person wearing spectacles, we need to consider the power of the spectacles.
The power of the spectacles is given as +1.0 Dioptre.
1. Understanding Dioptre:
- Dioptre is the unit used to measure the power of a lens.
- A positive Dioptre indicates that the lens is converging or convex.
- A negative Dioptre indicates that the lens is diverging or concave.
2. Relationship between Power and Focal Length:
- The power of a lens is inversely proportional to its focal length.
- The formula to calculate the focal length (f) in meters is: f = 1 / P
(where P is the power of the lens in Dioptres)
3. Calculation:
- Given that the power of the spectacles is +1.0 Dioptre.
- Using the formula, the focal length of the spectacles is: f = 1 / 1.0 = 1 meter.
- The nearest distance of distinct vision is the distance at which the eye can focus without any strain.
- For a normal eye, the nearest distance of distinct vision is considered to be 25 cm.
- However, when wearing spectacles, the focal length of the eye is effectively increased by the power of the spectacles.
- Therefore, the nearest distance of distinct vision for the person wearing spectacles with +1.0 Dioptre is: 1 meter + 25 cm = 1 meter + 0.25 meters = 1.25 meters.
- Converting 1.25 meters to centimeters, we get: 1.25 meters * 100 cm/meter = 125 cm.
So, the correct answer is option D) -300 cm, which is the nearest distance of distinct vision for a person wearing spectacles with +1.0 Dioptre.
To calculate the nearest distance of distinct vision for a person wearing spectacles, we need to consider the power of the spectacles.
The power of the spectacles is given as +1.0 Dioptre.
1. Understanding Dioptre:
- Dioptre is the unit used to measure the power of a lens.
- A positive Dioptre indicates that the lens is converging or convex.
- A negative Dioptre indicates that the lens is diverging or concave.
2. Relationship between Power and Focal Length:
- The power of a lens is inversely proportional to its focal length.
- The formula to calculate the focal length (f) in meters is: f = 1 / P
(where P is the power of the lens in Dioptres)
3. Calculation:
- Given that the power of the spectacles is +1.0 Dioptre.
- Using the formula, the focal length of the spectacles is: f = 1 / 1.0 = 1 meter.
- The nearest distance of distinct vision is the distance at which the eye can focus without any strain.
- For a normal eye, the nearest distance of distinct vision is considered to be 25 cm.
- However, when wearing spectacles, the focal length of the eye is effectively increased by the power of the spectacles.
- Therefore, the nearest distance of distinct vision for the person wearing spectacles with +1.0 Dioptre is: 1 meter + 25 cm = 1 meter + 0.25 meters = 1.25 meters.
- Converting 1.25 meters to centimeters, we get: 1.25 meters * 100 cm/meter = 125 cm.
So, the correct answer is option D) -300 cm, which is the nearest distance of distinct vision for a person wearing spectacles with +1.0 Dioptre.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect answer is option 'D'. Can you explain this answer?
Question Description
If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect 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 If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect 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 If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect answer is option 'D'. Can you explain this answer?.
If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect 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 If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect 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 If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the person uses spectacles of power + 1.0 Dioptre, Near point = 75 cm .What is the nearest distance of distinct vision for him ?a)+298cmb)300cmc)-298cmd)-300cmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup