Asource containing a mixture of hydrogen and deuterium atoms emits light at two wavelengths whose mean is 513 nm and whose separation is 0.139 nm. find the minimum number of lines needed in a diffraction grating that can resolve these lines in the first order.

Minimum number of lines, N = 3690.64

Explanation:

Mean of wavelengths,

Smallest resolvable wavelength difference,

Resolution of diffraction grating is given by :

For first order, m = 1

N is the minimum number of lines

N = 3690.64

Hence, the minimum number of lines needed in a diffraction grating that can resolve these lines in the first order is 3690.64. Hence, this is required solution.

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