What is its minimum width if it produces 50 minima?

lollaupligey9

lollaupligey9

Answered question

2022-08-11

(a) What is the minimum width of a single slit (in multiples of λ ) that will produce a first minimum for a wavelength λ ?
(b) What is its minimum width if it produces 50 minima?
(c) 1000 minima?

Answer & Explanation

sekanta2b

sekanta2b

Beginner2022-08-12Added 17 answers

(a)
In diffraction of light
minima occurs when a sin θ = m λ
where a is width of slit and sin θ is angular deviation corresponding to minima.
a = m λ sin θ
for first minima m=1, and for a to be minimum, sin θ should be maximum.
1 sin θ 1
maximum of sin θ is 1
so a = λ , i.e slit with should be equal to wavelength of light incident.
(b)
same concept as above in (a)
a sin θ = m λ
for m = 50
slit width is equal to 50 λ
(c)
for m = 1000
slit width should be equal to 1000 λ.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Light and Optics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?