A diffraction grating with $340$ lines$/$mm is $1\mathrm{.}55$ m in front of a screen. What is the wavelength of light whose first$-$order maxima will be $16\mathrm{.}4$ cm from the central maximum on the screen?

Problem $28\mathrm{.}65$

Part A

A diffraction grating with $340$ lines $\backslash (/\backslash$mathrm$\{$mm$\}\backslash )$ is $1\mathrm{.}55$ m in front of a screen.

What is the wavelength of light whose first$-$order maxima will be $16\mathrm{.}4$ cm from the central maximum on the screen?

Express your answer to three significant figures.

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$\backslash$lambda$=\backslash$square $\backslash$quad $\backslash$mathrm$\{$nm$\}$

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