 Home

Codex Wiki

List of universities

University of Oxford

Course of the University of Oxford

Undergraduate course of the University of Oxford

Physics course of the University of Oxford

Short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford

Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford

2018

The <probability density> is even, so its first moment vanishes. Its second moment follows by integrating the polynomial:
$$
\langle x^2\rangle=A^2\left[\frac{2a^7}{3}-\frac{4a^7}{5}+\frac{2a^7}{7}\right].
$$
Using the <normalization> from part <S3/2/a> gives
$$
\boxed{\langle x\rangle=0,\qquad\langle x^2\rangle=\frac{a^2}{7}.}
$$
The <variance> in <position> is consequently $a^2/7$.

Solution

Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2018 / S3 / 2 / b / Solution

Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2018 / S3 / 2 / b / Solution

 Ancestors (12)

 Discussion (0)

 Articles by others on the same topic (0)

Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2018 / S3 / 2 / b / Solution

 Ancestors (12)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)