Physics Question about Diffraction Gradings

AI Thread Summary
The highest order of interference maximum for monochromatic light with a wavelength of 560 nm illuminating a diffraction grating with 4000 lines/cm can be calculated using the formula d/λ. The distance between slits, calculated as 2.5 x 10^-6 meters, is derived from the grating's specifications. The attempt to find the maximum order using I=mλ/d led to an incorrect result, indicating a possible error in the calculations. To determine the maximum number of orders, the value of d/λ must be rounded down to the nearest whole number. Clarification on this calculation process is sought to identify any mistakes made.
tnbstudent
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Question:
What is the highest order of interference maximum that can occur when monochromatic light with a wavelength of 560 nm illuminates a diffraction grating with 4000 lines/cm?

Attempt:
I thought this seemed really easy, but my answer was incorrect.
λ=560nm
Since there are 4000 lines per centimeter - I solved for the distance between two slits to be 2.5*10^-6 meters.
Using I=mλ/d and m=1 to to achieve the max I got 0.224 but that was incorrect

I think I've made a silly error but I'm not sure what it is - can someone point me in a direction
 
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The max number of orders is d/λ which must be rounded down if it is not a whole number
 
Thank you!
 
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