In a grating spectrum, which spectral line in fourth order will overlap with third order line of 5461 A^0

vangstosiis 2022-07-17 Answered
In a grating spectrum, which spectral line in fourth order will overlap with third order line of 5461 A 0
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Answers (1)

Kaiden Weeks
Answered 2022-07-18 Author has 14 answers
Given
The wavelength of a spectral line in third-order is λ 3 = 5461 A 0
The integer of the third order is n 3 = 3.
The integer of the fourth-order is n 4 = 4.
If the grating spectrum is the same for both the orders then,
n λ = constant n 3 λ 3 = n 4 λ 4
Here, λ 4 is the wavelength of a spectral line in fourth-order.
Substitute the known values.
3 × 5461 A 0 = 4 × λ 4 λ 4 = 3 × 5461 A 0 4 = 4095.75 A 0
Thus, in the grating spectrum, the wavelength of the spectral line of fourth-order is 4095.75 A 0
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