A space$-$based telescope can achieve a difiraction$-$limited angular resolution of $0\mathrm{.}15"$ for red light $($wavelength $660$ nm $).$

Part A

What would the resolution of the instrument be in the infrared, at $8\mathrm{.}1m?$

Express your answer using two significant figures.

$=$

Part $B$

What would the resolution of the instrument be in the ultraviolet, at $250$ mm $?$

Express your answer using two significant figures.

$$

$=$ arc seconds