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## Homework Statement

A diffraction grating gives a second-order maximum at as angle of 31° for violet light (λ = 4.0 × 10^2 nm). If the diffraction grating is 1.0 cm in width, how many lines are on this diffraction grating?

## Homework Equations

d = (m)(λ)/sinθ

^{m}

## The Attempt at a Solution

d = (m)(λ)/sinθ

^{m}

d = (2)(4.0 x 10

^{-7}m)/sin(31°)

d = 1.6 x 10 x 10

^{-6}m

0.01 m / 1.6 1.6 x 10 x 10

^{-6}m = 6250 lines

Many thanks in advance!

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