The knowledge is about standing waves QUESTION 1 In this experiment, we measured
ID: 1863589 • Letter: T
Question
The knowledge is about standing waves
QUESTION 1 In this experiment, we measured the linear mass density of the string, H . We could calculate the mass of the string using m = ?-L . Then how could you experimentally determine the mass of the string using the slope of the T v. (-) plot? a. t would be equal to the slope of the T v. () plot (where T is the tension and f is the frequency of vibration) b. It would be equal to the slope divided by 4L c. It would be equal to the slope divided by 2L d. It would be equal to the slope of the plot divided by L, the length of the stringExplanation / Answer
1) b) It would be equal to slope devided by 4*L
we know, f = nv/(2*L)
f = n*sqrt(T/mue)/(2*L)
(f/n) = sqrt(T/mue)/(2*L)
(f/n)*2L = sqrt(T/mue)
(f/n)^2*4*L^2 = (T/mue)
T = (4*L^2*mue)*(f/n)^2
= (4*L^2*m/L))*(f/n)^2
= (4*L*m)*(f/n)^2
so slope = 4*L*m
so mass, m = slope/(4*L)
2) remained same
3) True
Because, the points which do not displace are called nodes.
4) False
Because, if we have 2 nodes, that is called 1st harmonic
if we have 3 nodes, that is called 2nd harmonic.
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