Question

31.1 lc oscillations
in the electrical - mechanical analogy, the reciprocal of the capacitance of the capacitor corresponds to
the spring constant of the spring.
the stretch or compression in the spring.
the speed of the block.
the mass of the block.

Explanation:

In the electrical - mechanical analogy for LC oscillations, the energy in an LC circuit (electrical) is analogous to the energy in a mass - spring system (mechanical). The energy in an LC circuit is \(U=\frac{q^{2}}{2C}+\frac{1}{2}Li^{2}\) (where \(q\) is charge, \(C\) is capacitance, \(L\) is inductance and \(i\) is current). The energy in a mass - spring system is \(U=\frac{1}{2}kx^{2}+\frac{1}{2}mv^{2}\) (where \(k\) is spring constant, \(x\) is displacement, \(m\) is mass and \(v\) is velocity). By comparing the two energy equations, we can see that \(\frac{1}{C}\) (reciprocal of capacitance) corresponds to \(k\) (spring constant) in the mechanical system.

Answer:

the spring constant of the spring.