Relate period to frequency and wavelength via wave equations

Steps:

• Convert period: T = 1.0 ns = 1.0 × 10^{-9} s.
• Compute frequency: f = 1/T = 1.0 × 10^9 Hz.
• Use speed of light: c = 3.0 × 10^8 m/s.
• Calculate wavelength: λ = c/f = 3.0 × 10^8 / 1.0 × 10^9 = 3.0 × 10^{-1} m.

Why B is correct:

• Values match f = 1/T and λ = c/f, the definitions for periodic waves in vacuum.

Why the others are wrong:

• A: Wavelength incorrect; λ = c/f = 0.3 m, not 300 m.
• C: Frequency too high; 10^{10} Hz corresponds to T = 0.1 ns, not 1.0 ns.
• D: Frequency too low; 10^8 Hz corresponds to T = 10 ns, not 1.0 ns.

Final answer: B