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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 string

Explanation / 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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