You are Here: Home >< Physics

# AS physics diffraction question! watch

1. I know that there are four factors that affect diffraction angle in youngs double slit experiment,
1) Wavelength
2) slit separation
3) fringe spacing
4) distance to the fringes

For very small angles tan and sine are approximately equal, so X(fringe separation)/L(distance)=landa/d (slit separation)

But sometimes questions like, "if you double the wavelength and half the slit separation what happens to the angle?" or "what happens to angle if slit separation is doubled and distance to fringes is halved" or "if wavelength increases and the fringe separation is halved, what happens to angle of diffraction" THROW ME OFF.

2. (Original post by ehlamleyla)
I know that there are four factors that affect diffraction angle in youngs double slit experiment,
1) Wavelength
2) slit separation
3) fringe spacing
4) distance to the fringes

For very small angles tan and sine are approximately equal, so X(fringe separation)/L(distance)=landa/d (slit separation)

But sometimes questions like, "if you double the wavelength and half the slit separation what happens to the angle?" or "what happens to angle if slit separation is doubled and distance to fringes is halved" or "if wavelength increases and the fringe separation is halved, what happens to angle of diffraction" THROW ME OFF.

This is what I think but I'm not completely sure

You need to remember that nlanda = dsintheta always works for any diffraction grating/ slit combination. As you say for small angles X/L = landa/d. We also know by using trigonometry that sin theta = nlanda/d and tan theta = X/L

so for the first example double the wavelength and half d you get sin theta = n2landa/0.5d so the fraction is bigger and this means sin theta is bigger so theta must also be bigger as arcsine of nlanda/d is < n2landa/0.5d

This is all you need to do for these questions, either that or just know what happens in each case.

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: May 23, 2016
Today on TSR

### 'I missed the UCAS deadline!'

Here's what to do next...

### University open days

• University of East Anglia
All Departments Open 13:00-17:00. Find out more about our diverse range of subject areas and career progression in the Arts & Humanities, Social Sciences, Medicine & Health Sciences, and the Sciences. Postgraduate
Wed, 30 Jan '19
• Solent University
Sat, 2 Feb '19
• Sheffield Hallam University