A beam of singly-charged magnesium ions containing the isotopes $24Mg+^{24}\text{Mg}^{+}$ and $26Mg+^{26}\text{Mg}^{+}$ is accelerated from rest through a constant potential difference $V$ . The ions then enter a region of uniform magnetic field of flux density $B\,$ acting perpendicular to their direction of motion, where they travel in circular paths of radii $r_{24}$ and $r_{26}$ respectively.

Show that the ratio of the path radii $r26r24\displaystyle \frac{r_{26}}{r_{24}}$ is independent of both $V\,$ and $B$ , and determine the numerical value of this ratio.

Assume the masses of the isotopes are $u24\text{ u}$ and $u26\text{ u}$ respectively.

Show that the ratio of the path radii $r26r24\displaystyle \frac{r_{26}}{r_{24}}$ is independent of both $V\,$ and $B$ , and determine the numerical value of this ratio.

Assume the masses of the isotopes are $u24\text{ u}$ and $u26\text{ u}$ respectively.

Fields and their consequences (A-level only)

Question 66

Markscheme

Fields and their consequences (A-level only)

Question 66

Markscheme

Fields and their consequences (A-level only)

Question 66

Fields and their consequences (A-level only) Questions

Fields and their consequences (A-level only)

Question 66

Fields and their consequences (A-level only) Questions