NEET Exam > NEET Questions > The refractive index of a lens material is 1....
Start Learning for Free
The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%?
Most Upvoted Answer
The refractive index of a lens material is 1.5 and focal length f.Due ...
**Given:**
Refractive index of lens material (n) = 1.5
Focal length (f) = f
**To find:**
Percentage change in focal length
**Solution:**
Let's assume the initial focal length of the lens is f₀.
The formula relating the refractive index (n) and focal length (f) is given by:
n = 1 / f₀
From the given information, we can write:
n = 1 / f₀₀ (where f₀₀ is the initial focal length)
The refractive index has increased by 2%, so the new refractive index is:
n' = 1.02 * n
Substituting the value of n from the first equation:
n' = 1.02 * (1 / f₀₀)
The new focal length (f₁) can be calculated using the new refractive index:
n' = 1 / f₁
Substituting the value of n' from the second equation:
1 / f₁ = 1.02 * (1 / f₀₀)
Now, we can solve this equation to find f₁:
f₁ = f₀₀ / 1.02
Let's calculate the percentage change in focal length:
Percentage change = ((f₁ - f₀₀) / f₀₀) * 100
Substituting the values:
Percentage change = ((f₀₀ / 1.02 - f₀₀) / f₀₀) * 100
Simplifying the equation:
Percentage change = ((f₀₀ - f₀₀ * 1.02) / f₀₀) * 100
Percentage change = ((f₀₀ - 1.02 * f₀₀) / f₀₀) * 100
Percentage change = (1 - 1.02) * 100
Percentage change = -2%
Therefore, the percentage change in the focal length of the lens is -2%, which is equivalent to -2/100 * 100 = -2%.
Hence, the correct option is 2) -4.5%.
Refractive index of lens material (n) = 1.5
Focal length (f) = f
**To find:**
Percentage change in focal length
**Solution:**
Let's assume the initial focal length of the lens is f₀.
The formula relating the refractive index (n) and focal length (f) is given by:
n = 1 / f₀
From the given information, we can write:
n = 1 / f₀₀ (where f₀₀ is the initial focal length)
The refractive index has increased by 2%, so the new refractive index is:
n' = 1.02 * n
Substituting the value of n from the first equation:
n' = 1.02 * (1 / f₀₀)
The new focal length (f₁) can be calculated using the new refractive index:
n' = 1 / f₁
Substituting the value of n' from the second equation:
1 / f₁ = 1.02 * (1 / f₀₀)
Now, we can solve this equation to find f₁:
f₁ = f₀₀ / 1.02
Let's calculate the percentage change in focal length:
Percentage change = ((f₁ - f₀₀) / f₀₀) * 100
Substituting the values:
Percentage change = ((f₀₀ / 1.02 - f₀₀) / f₀₀) * 100
Simplifying the equation:
Percentage change = ((f₀₀ - f₀₀ * 1.02) / f₀₀) * 100
Percentage change = ((f₀₀ - 1.02 * f₀₀) / f₀₀) * 100
Percentage change = (1 - 1.02) * 100
Percentage change = -2%
Therefore, the percentage change in the focal length of the lens is -2%, which is equivalent to -2/100 * 100 = -2%.
Hence, the correct option is 2) -4.5%.
Community Answer
The refractive index of a lens material is 1.5 and focal length f.Due ...
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%?
Question Description
The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%?.
The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%?.
Solutions for The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%? defined & explained in the simplest way possible. Besides giving the explanation of
The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%?, a detailed solution for The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%? has been provided alongside types of The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%? theory, EduRev gives you an
ample number of questions to practice The refractive index of a lens material is 1.5 and focal length f.Due to some chemical changes in the material it's refractive index has increased by 2%.The percentage change in its focal length is. 1) 4.5%. 2)-4.5%. 3) 5.67%. 4)-5.67%? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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