For a spring that obeys Hooke's law, the tension in the spring is proportional to the stretched length of the spring T = k(L-Lo), where L and L, are the length of the stretched and unstretched spring, respectively, and k is the spring constant. The mass density of the spring is μ = M/L and the wave velocity is v= √√√//μ. Substitution of these expressions into Eq. 6.1 shows that the frequency of the standing waves depends on the length of the spring Las =√√√√√1-2. You will use this equation in Sec. 6.5 of the experiment. For a slinky, the unstretched length is much shorter than the stretched length. Suppose that the fundamental standing wave is oscillating on a slinky. How does the period of the standing wave change as the lengthof the slinky is altered? A. It hardly changes B. It gets longer C. It gets shorter
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
From the given problem,
Here, the upstretched length is much shorter than the stretched length.
i.e Lo << L
From the above comparison, we can see that
The change in length of slinky will not affect the frequency as Lo << L.
Therefore, there is no change in time period.
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