- #1

physgrl

- 138

- 0

## Homework Statement

A beam of monochromatic light of wavelength 500 nm falls normally on a diffraction grating. What is the spacing between slits on the grating if a first order maximum is observed at 32o?

a. 2.88 m

b. 0.944 m

c. 0.750 m

d. 0.500 m

e. 0.250 m

## Homework Equations

d=mλ/sinθ

## The Attempt at a Solution

m=1 (first order)

λ=500nm

θ=32

d=1*500nm/sin(32)

d=9.44x10^-7m

the answer key says it is a) 2.88m

can anyone explain why?

I am having the same problem with:

A beam of light with a wavelength of 500 nm falls normally on a diffraction grating. What is the spacing between slits on the grating if a first order maximum is observed at 20o?

a. 171 nm

b. 500 nm

c. 1000 nm

d. 1460 nm

where I am getting 1460nm with the same procedure as above but the answer key says 1000nm :/

thanks in advance!