For the (a) the average value. (b) the mean square value. (c) the rms value. (d) the most probable value. x-component of the displacement, determine

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13-5 Suppose that the position of each molecule in a system of mol-
ecules could be observed as a function of time. At a certain time
t, the displacement of each molecule relative to its displacement
at t = 0 is determined. The following table gives data for the
number of molecules found as a function of the x-component of the
displacement.
No. of
Molecules
(thousands)
247969742
10
x-Component of
Displacement (m)
-0.045 to -0.035
-0.035 to -0.025
-0.025 to -0.015
-0.015 to -0.005
-0.005 to +0.005
0.005 to 0.015
0.015 to 0.025
0.025 to 0.035
0.035 to 0.045
For the x-component of the displacement, determine
(a) the average value.
(b) the mean square value.
(c) the rms value.
(d) the most probable value.
Transcribed Image Text:13-5 Suppose that the position of each molecule in a system of mol- ecules could be observed as a function of time. At a certain time t, the displacement of each molecule relative to its displacement at t = 0 is determined. The following table gives data for the number of molecules found as a function of the x-component of the displacement. No. of Molecules (thousands) 247969742 10 x-Component of Displacement (m) -0.045 to -0.035 -0.035 to -0.025 -0.025 to -0.015 -0.015 to -0.005 -0.005 to +0.005 0.005 to 0.015 0.015 to 0.025 0.025 to 0.035 0.035 to 0.045 For the x-component of the displacement, determine (a) the average value. (b) the mean square value. (c) the rms value. (d) the most probable value.
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