All Problems

Mechanical Oscillations

Problem 4.64

A small magnetic needle performs small oscillations about an axis perpendicular to the magnetic induction vector. On changing the magnetic induction the needle's oscillation period decreased \(\eta=5.0\) times. How much and in what way was the magnetic induction changed? The oscillation damping is assumed to be negligible.

Reveal Answer
 The induction of the field increased η2=25 times. \text { The induction of the field increased } \eta^{2}=25 \text { times. }