A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]a)1.25 mb)13.6 cmc)12.5 cmd)2.5 mmCorrect answer is option 'C'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

Class 12 Exam > Class 12 Questions > A paper, with two marks having separation d, ...

Join the Discussion on the App

A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]

a)
1.25 m
b)
13.6 cm
c)
12.5 cm
d)
2.5 mm

Correct answer is option 'C'. Can you explain this answer?

FREE This question is part of

31 Year NEET Previous Year Questions: Wave Optics

Attempt Test

Attempt this Test

Verified Answer

A paper, with two marks having separation d, isheld normal to the line...

Angular limit of resolution of eye,

where, d is diameter of eye lens.
Also, if y is the minimum separation between two objects at distance D from eye then

θ = y/D

Here, wavelength λ = 5000Å = 5x10^-7m
D = 50 m
Diameter of eye lens = 2 mm = 2x10^-3 m
From eq. (1), minimum separation is

y = 5 * 10^-7 * 50 / 2 * 10^-3

y = 0.0125 m

y = 1.25 cm

View all questions of this test

Most Upvoted Answer

A paper, with two marks having separation d, isheld normal to the line...

We can use the Rayleigh criterion to find the minimum separation between the two marks that can be resolved by the observer:

θ = 1.22 λ/D

where θ is the angular resolution, λ is the wavelength of light, and D is the diameter of the eye's lens. We can rearrange this equation to solve for D:

D = 1.22 λ/θ

We can then use trigonometry to relate the angular resolution to the separation between the marks:

tan(θ) = d/50

where d is the separation between the marks. Rearranging this equation gives:

θ = arctan(d/50)

Substituting this into the equation for D, we get:

D = 1.22 λ/arctan(d/50)

Plugging in the given values, we get:

D = 1.22 * 5000 / arctan(d/50)

Taking the derivative of D with respect to d and setting it equal to zero, we can find the minimum value of d:

d_min = 50 * tan(1.22/(2*sqrt(3)))

d_min ≈ 0.98 mm

Therefore, the least value of d that allows the marks to be seen as separate is approximately 0.98 mm.

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for Class 12 exam

Similar Class 12 Doubts

A parallel beam of light of wavelength 500 nm falls on a narrow slit and the resulting diffraction pattern is observed on a screen 1 m away. It is observed that the first minimum is at a distance of 2.5 mm from the centre of the screen. Find the width of the slit.

View answer

Read the following text and answer the following questions on the basis of the same:Laser:Electromagnetic radiation is a natural phenomenon found in almost all areas of daily life, from radio waves to sunlight to x-rays. Laser radiation – like all light – is also a form of electromagnetic radiation. Electromagnetic radiation that has a wavelength between 380 nm and 780 nm is visible to the human eye and is commonly referred to as light. At wavelengths longer than 780 nm, optical radiation is termed infrared (IR) and is invisible to the eye. At wavelengths shorter than 380 nm, optical radiation is termed ultraviolet (UV) and is also invisible to the eye. The term “laser light” refers to a much broader range of the electromagnetic spectrum that just the visible spectrum, anything between 150 nm up to 11000 nm (i.e. from the UV up to the far IR). The term laser is an acronym which stands for “light amplification by stimulated emission of radiation”.Einstein explained the stimulated emission. In an atom, electron may move to higher energy level by absorbing a photon. When the electron comes back to the lower energy level it releases the same photon. This is called spontaneous emission. This may also so happen that the excited electron absorbs another photon , releases two photons and returns to the lower energy state. This is known as stimulated emission.Laser emission is therefore a light emission whose energy is used, in lithotripsy, for targeting and ablating the stone inside human body organ.Apart from medical usage, laser is used for optical disk drive, printer, barcode reader etc.Q. What is the range of amplitude of LASER?

View answer

Read the following text and answer the following questions on the basis of the same:Laser:Electromagnetic radiation is a natural phenomenon found in almost all areas of daily life, from radio waves to sunlight to x-rays. Laser radiation – like all light – is also a form of electromagnetic radiation. Electromagnetic radiation that has a wavelength between 380 nm and 780 nm is visible to the human eye and is commonly referred to as light. At wavelengths longer than 780 nm, optical radiation is termed infrared (IR) and is invisible to the eye. At wavelengths shorter than 380 nm, optical radiation is termed ultraviolet (UV) and is also invisible to the eye. The term “laser light” refers to a much broader range of the electromagnetic spectrum that just the visible spectrum, anything between 150 nm up to 11000 nm (i.e. from the UV up to the far IR). The term laser is an acronym which stands for “light amplification by stimulated emission of radiation”.Einstein explained the stimulated emission. In an atom, electron may move to higher energy level by absorbing a photon. When the electron comes back to the lower energy level it releases the same photon. This is called spontaneous emission. This may also so happen that the excited electron absorbs another photon , releases two photons and returns to the lower energy state. This is known as stimulated emission.Laser emission is therefore a light emission whose energy is used, in lithotripsy, for targeting and ablating the stone inside human body organ.Apart from medical usage, laser is used for optical disk drive, printer, barcode reader etc.Q. Lithotripsy is

View answer

Read the following text and answer the following questions on the basis of the same:Laser:Electromagnetic radiation is a natural phenomenon found in almost all areas of daily life, from radio waves to sunlight to x-rays. Laser radiation – like all light – is also a form of electromagnetic radiation. Electromagnetic radiation that has a wavelength between 380 nm and 780 nm is visible to the human eye and is commonly referred to as light. At wavelengths longer than 780 nm, optical radiation is termed infrared (IR) and is invisible to the eye. At wavelengths shorter than 380 nm, optical radiation is termed ultraviolet (UV) and is also invisible to the eye. The term “laser light” refers to a much broader range of the electromagnetic spectrum that just the visible spectrum, anything between 150 nm up to 11000 nm (i.e. from the UV up to the far IR). The term laser is an acronym which stands for “light amplification by stimulated emission of radiation”.Einstein explained the stimulated emission. In an atom, electron may move to higher energy level by absorbing a photon. When the electron comes back to the lower energy level it releases the same photon. This is called spontaneous emission. This may also so happen that the excited electron absorbs another photon , releases two photons and returns to the lower energy state. This is known as stimulated emission.Laser emission is therefore a light emission whose energy is used, in lithotripsy, for targeting and ablating the stone inside human body organ.Apart from medical usage, laser is used for optical disk drive, printer, barcode reader etc.Q. LASER is used in

View answer

Read the following text and answer the following questions on the basis of the same:Laser:Electromagnetic radiation is a natural phenomenon found in almost all areas of daily life, from radio waves to sunlight to x-rays. Laser radiation – like all light – is also a form of electromagnetic radiation. Electromagnetic radiation that has a wavelength between 380 nm and 780 nm is visible to the human eye and is commonly referred to as light. At wavelengths longer than 780 nm, optical radiation is termed infrared (IR) and is invisible to the eye. At wavelengths shorter than 380 nm, optical radiation is termed ultraviolet (UV) and is also invisible to the eye. The term “laser light” refers to a much broader range of the electromagnetic spectrum that just the visible spectrum, anything between 150 nm up to 11000 nm (i.e. from the UV up to the far IR). The term laser is an acronym which stands for “light amplification by stimulated emission of radiation”.Einstein explained the stimulated emission. In an atom, electron may move to higher energy level by absorbing a photon. When the electron comes back to the lower energy level it releases the same photon. This is called spontaneous emission. This may also so happen that the excited electron absorbs another photon , releases two photons and returns to the lower energy state. This is known as stimulated emission.Laser emission is therefore a light emission whose energy is used, in lithotripsy, for targeting and ablating the stone inside human body organ.Apart from medical usage, laser is used for optical disk drive, printer, barcode reader etc.Q. What is the full form of LASER ?

View answer

Share with a Friend

Answer this doubt

Question Description
A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]a)1.25 mb)13.6 cmc)12.5 cmd)2.5 mmCorrect answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]a)1.25 mb)13.6 cmc)12.5 cmd)2.5 mmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]a)1.25 mb)13.6 cmc)12.5 cmd)2.5 mmCorrect answer is option 'C'. Can you explain this answer?.

Solutions for A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]a)1.25 mb)13.6 cmc)12.5 cmd)2.5 mmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.

Here you can find the meaning of A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]a)1.25 mb)13.6 cmc)12.5 cmd)2.5 mmCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]a)1.25 mb)13.6 cmc)12.5 cmd)2.5 mmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]a)1.25 mb)13.6 cmc)12.5 cmd)2.5 mmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]a)1.25 mb)13.6 cmc)12.5 cmd)2.5 mmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A paper, with two marks having separation d, isheld normal to the line of sight of an observer ata distance of 50m. The diameter of the eye-lensof the observer is 2 mm. Which of the followingis the least value of d, so that the marks can beseen as separate ? The mean wavelength ofvisible light may be taken as 5000 Å. [2002]a)1.25 mb)13.6 cmc)12.5 cmd)2.5 mmCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 12 tests.

Explore Courses for Class 12 exam