Lab: Standing Waves IIL.Summary questions PHY 221 1. Suppose you measure the mas

Question

Lab: Standing Waves IIL.Summary questions PHY 221 1. Suppose you measure the mass density of an un-stretched length of string. You then stretch the string. The mass density of the stretched string will be larger, smaller, or the same as the mass density of the un-stretched length of string 2. In light of your answer to the question above, is your wave speed as measured by your tension measurement too large or too small? 3. As the frequency of the oscillator is increased; What happens to the wavelength of the wave? a. b. How does the wavelength compare to the length of the string? Use your results to write a general expression for the frequency in terms of the length of the string (L), the velocity (v), and the mode number (n). Show all of your work. c. 3-5

Explanation / Answer

1.

mass density is given as

mass density = total mass/ total length

Upon stretching , the length of the string becomes larger but the total mass remain same

Since mass density and total length have an inverse relation

hence mass density decreases.

2.

wave speed is given as

v = sqrt(T/mass density)

as mass density decreases , the speed increases and becomes larger

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