A spring‑block simple harmonic oscillator is set up so that the oscillations are vertical. The period of the motion is $T$. If the spring and block are taken to the surface of the Moon, where the gravitational acceleration is $\displaystyle \frac{1}{6}$ of its value here, then the vertical oscillations will have a period of
A) $\displaystyle \frac{\ T}{6}$
B) $\displaystyle \frac{\ T}{3}$
C) $\displaystyle \frac{\ T}{\sqrt{6}}$
D) $T$
A) $\displaystyle \frac{\ T}{6}$
B) $\displaystyle \frac{\ T}{3}$
C) $\displaystyle \frac{\ T}{\sqrt{6}}$
D) $T$
The period of a spring‑block simple harmonic oscillator is independent of the value of $g$. (Recall that $T=2\pi \sqrt{\displaystyle \frac{m}{k}}$.) Therefore, the period will remain the same.