Question

As your hand moves back and forth to generate longitudinal pulses in a spiral spring, your hand completes 2.91 back-and-forth cycles every 3.67 s. The velocity of the pulse in the spring is 0.925 cm/s. What is the wavelength? Answer in units of m.

Answer 1

Answer:

Wavelength, $\lambda=0.011\ m$

Explanation:

Given that,

Number of cycles in a spiral spring is 2.91 in every 3.67 s

The velocity of the pulse in the spring is 0.925 cm/s, v = 0.00925 m/s

To find,

Wavelength

Solution,

Number of cycles per unit time is called frequency of a wave. The frequency of the longitudinal pulse is,

$f=\dfrac{2.91}{3.67}=0.79\ Hz$

The wavelength of a wave is given by :

$\lambda=\dfrac{v}{f}$

$\lambda=\dfrac{0.00925\ m/s}{0.79\ Hz}$

$\lambda=0.011\ m$

So, the wavelength of the longitudinal pulse is 0.011 meters. Hence, this is the required solution.