The Two Stars in a Binary Star System Have an Angular

Multiple Choice

The two stars in a binary star system have an angular separation of $1.0 \times 10 ^ { - 5 } \mathrm { rad }$ . If the wavelength of the light from the system is $500 \mathrm {~nm}$ , what is the smallest diameter aperture telescope that could just resolve this system to show that it contains two stars?

A) $6.1 \mathrm {~cm}$
B) $5.0 \mathrm {~cm}$
C) $0.61 \mathrm {~cm}$
D) $0.50 \mathrm {~cm}$