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Consider a particle to be constrained to lie along a one-dimensional segment 0 to a. The probability that the particle is found to lie between x and x + dx is given by function p(x)dx where n=1,2,3... Show that p(x)dx is normailized and then calculate the average position of the particle along the line segment. SHOW FULL AND COMPLETE PROCEDURE. Integrals that you need are shown in the second image

Consider a particle to be constrained to lie along a one-dimensional segment 0 to a. The probability that the particle is found to lie between x and x + dx is given by function p(x)dx where n=1,2,3... Show that p(x)dx is normailized and then calculate the average position of the particle along the line segment. SHOW FULL AND COMPLETE PROCEDURE. Integrals that you need are shown in the second image

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Consider a particle to be constrained to lie along a one-dimensional segment 0 to a. The probability that the particle is found to lie between x and x + dx is given by function p(x)dx where n=1,2,3... Show that p(x)dx is normailized and then calculate the average position of the particle along the line segment. SHOW FULL AND COMPLETE PROCEDURE. Integrals that you need are shown in the second image 

[sir X 2 fr si x sin² axdx = sin² axdx = x² 4 sin 2ax 4a x sin 2ax 4a cos 2ax 8q²
Transcribed Image Text:[sir X 2 fr si x sin² axdx = sin² axdx = x² 4 sin 2ax 4a x sin 2ax 4a cos 2ax 8q²
p(x) dx = 2 a sin2 ηπα a - dx
Transcribed Image Text:p(x) dx = 2 a sin2 ηπα a - dx
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