Red light from three separate sources passes through a diffraction grating with

Question

Red light from three separate sources passes through a diffraction grating with 5.10×105 slits/m. The wavelengths of the three lines are 6.56 ×x107m (hydrogen), 6.50 ×107m (neon), and 6.97 ×107m (argon).

Part A
Calculate the angle for the first-order diffraction line of first source (hydrogen).Express your answer using three significant figures.

Part B
Calculate the angle for the first-order diffraction line of second source (neon).Express your answer using three significant figures.

Part C
Calculate the angle for the first-order diffraction line of third source (argon).Express your answer using three significant figures.

Explanation / Answer

here,

slit spacing , d = 1/( 5.1 * 10^5) m

d = 1.96 * 10^-6 m

A)

lamda = 6.56 * 10^-7 m

let the angle for the first-order diffraction line of first source be lamda

d * sin(theta) = n * lamda

1.96 * 10^-6 * sin(theta) = 1 * 6.56 * 10^-7

theta = 19.6 degree

B)

lamda = 6.5 * 10^-7 m

let the angle for the first-order diffraction line of first source be lamda

d * sin(theta) = n * lamda

1.96 * 10^-6 * sin(theta) = 1 * 6.5 * 10^-7

theta = 19.37 degree

C)

lamda = 6.97 * 10^-7 m

let the angle for the first-order diffraction line of first source be lamda

d * sin(theta) = n * lamda

1.96 * 10^-6 * sin(theta) = 1 * 6.97 * 10^-7

theta = 20.83 degree

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