Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

Class 12

Physics

Ray Optics and Optical Instruments

Diffraction

The box of a pin hole camera, of length L, has a hole of radiu

Question

Medium

Solving time: 3 mins

The box of a pin hole camera, of length $L$ , has a hole of radius $a$ . It is assumed that when the hole is illuminated by a parallel beam of light of wavelength $λ$ the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction.
The spot would then have its minimum size (say $b_{m i n}$ ) when
(a) $a = \frac{λ ^{2}}{L}$ and $b_{m i n} = (\frac{2 λ ^{2}}{L})$
(b) $a = λ L$ and $b_{m i n} = (\frac{2 λ ^{2}}{L})$
(c) $a = λ L$ and $b_{m i n} = 4 λ L$
(d) $a = \frac{λ ^{2}}{L}$ and $b_{m i n} = 4 λ L$

Name: Video solution 1: The box of a pin hole camera, of length L, has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength λ the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction.The spot would then have its minimum size (say bmin ) when (a) a=Lλ2 and bmin=(L2λ2)(b) a=λL and bmin=(L2λ2)(c) a=λL and bmin=4λL(d) a=Lλ2 and bmin=4λL
Uploaded: 2024-02-14T16:30:26.000Z
Duration: 10 min

Views: 5,615 students

Updated on: Feb 14, 2024

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2016

Found 8 tutors discussing this question

Mila Discussed

The box of a pin hole camera, of length

L

, has a hole of radius

a

. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength

λ

the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction.
The spot would then have its minimum size (say

b_{m i n}

) when

(a)

a = \frac{λ ^{2}}{L}

and

b_{m i n} = (\frac{2 λ ^{2}}{L})

(b)

a = λ L

and

b_{m i n} = (\frac{2 λ ^{2}}{L})

(c)

a = λ L

and

b_{m i n} = 4 λ L

(d)

a = \frac{λ ^{2}}{L}

and

b_{m i n} = 4 λ L

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

Was this solution helpful?

129

Report

Filo tutor solutions (2)

Learn from their 1-to-1 discussion with Filo tutors.

10 mins

Uploaded on: 2/14/2024

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Abhishek Kumar

Total classes on Filo by this tutor - 23,373

Teaches : Physics, Mathematics, Organic Chemistry

Connect instantly with this tutor

Connect now

Notes from this class (9 pages)

Download

Was this solution helpful?

123

Report

3 mins

Uploaded on: 6/5/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Md Sajid

Total classes on Filo by this tutor - 4,568

Teaches : Physics, Biology, Organic Chemistry

Connect instantly with this tutor

Connect now

Was this solution helpful?

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	The box of a pin hole camera, of length $L$ , has a hole of radius $a$ . It is assumed that when the hole is illuminated by a parallel beam of light of wavelength $λ$ the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say $b_{m i n}$ ) when (a) $a = \frac{λ ^{2}}{L}$ and $b_{m i n} = (\frac{2 λ ^{2}}{L})$ (b) $a = λ L$ and $b_{m i n} = (\frac{2 λ ^{2}}{L})$ (c) $a = λ L$ and $b_{m i n} = 4 λ L$ (d) $a = \frac{λ ^{2}}{L}$ and $b_{m i n} = 4 λ L$
Updated On	Feb 14, 2024
Topic	Ray Optics and Optical Instruments
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 2
Upvotes	347
Avg. Video Duration	6 min

Text solutionVerified

Filo tutor solutions (2)

Questions from JEE Mains 2016 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Ray Optics and Optical Instruments in the same exam

Practice more questions from Ray Optics and Optical Instruments

Practice questions on similar concepts asked by Filo students

Text solutionVerified

Filo tutor solutions (2)

Questions from JEE Mains 2016 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Ray Optics and Optical Instruments in the same exam

Practice more questions from Ray Optics and Optical Instruments

Practice questions on similar concepts asked by Filo students

Related books for questions on Ray Optics and Optical Instruments

Previous year question papers