Final answer:
The question is about finding the capacitance required to resonate with a 305pH inductor to produce a specific wavelength of 36mm in a Physics context, involving the resonant frequency of an LC circuit.
Step-by-step explanation:
The subject of this question is Physics, specifically dealing with the concepts of the resonant frequency of an LC (Inductor-Capacitor) circuit and its relation to the wavelength of a radiated signal. To determine the capacitance that will resonate with a 305pH inductor and produce a signal with a wavelength of 36mm, we start with the formula for the resonant frequency of an LC circuit, which is f = 1 / (2 * pi * sqrt(L * C)), where f is the frequency, L is the inductance, and C is the capacitance.
We also need to relate frequency to wavelength using the speed of light c: f = c / λ, where λ is the wavelength.
From the given wavelength λ = 36mm or 0.036m, we can find the frequency f, and then, using that frequency and the given inductance L = 305pH, we can solve for the needed capacitance C.