## Diffraction grating Calculator :

Enter the Diffraction grating calculator its Wavelength in nanometers(nm), Grating density in millimeter(mm), Angle of incidence in deg, Diffracted images in deg, and you get the calculation below the calculator, you check it.

## Diffraction grating formula :

Diffraction grating formula is the wave length of light λ _{(m)} in meter and multiply the order of grating n_{(kg/ms-1)} in kilogram per meter per second^{-1} is equal to the product of distance d_{(m)} in meter and multiply the sin theta sinθ_{n}.Hence the Diffraction grating formula can be written as,

**λ _{(m)}*n_{(kg/ms-1)}=d_{(m)}* sinθ_{n}**

Where,

N→ order of grating kg ms^{-1}

d → distance in mm ,cm, m

λ→ wavelength of light in meter

θ → angle in degree

### Example: 1

Calculate slit spacing? In a diffraction grating is of width 6 cm and produces a deviation of 40^{0} in second order with the light of wavelength 600nm..

### Answer:

Given,

Angle θ=40^{0}

Order n=2

Wavelength λ=600nm

Given by

λn=dsinθ_{n}

d=2 *600 *10^{-9/}sin 40^{0}

d=1.42607 *10^{-6} m

### Example: 2

Calculate slit spacing? In a diffraction grating is of width 8 cm and produces a deviation of 80^{0} in second order with the light of wavelength 500nm.

### Answer:

Given,

Angle θ=80^{0}

Order n=2

Wavelength λ=500nm

Given by

λn=dsinθ_{n}

d=2 *500 *10^{-9/}sin 80^{0}

d= 1.18839 *10^{-6} m