Question

To five significant figures, what are the cyclotron frequencies in a $3.0000T$magnetic field of the ions $\left(a\right){O_2}^{+}$, $\left(\mathrm{b}\right){{\mathrm{N}}_2}^{+}$, and $\left(\mathrm{c}\right){\mathrm{CO}}^{+}$? The atomic masses are shown in the table; the mass of the missing electron is less than $0.001$u and is not relevant at this level of precision. Although ${{\mathrm{N}}_2}^{+}$and ${{\mathrm{C}}_2}^{+}$both have a nominal molecular mass of $28$, they are easily distinguished by virtue of their slightly different cyclotron frequencies. Use the following constants:$1u=1.6605\times {10}^{-27}Kg,e=1.6022\times {10}^{-19}C$.

Short answer

a) The cyclotron frequencies in a $3.0000T$magnetic field of the ions is$f_{{O_2}^{+}}=1.6450MHz$

b) The cyclotron frequencies in a $3.0000T$magnetic field of the ions is $f_{{{\mathrm{N}}_2}^{+}}=1.6450MHz$

c) The cyclotron frequencies in a $3.0000T$magnetic field of the ions is $f_{{\mathrm{CO}}^{+}}=1.6457MHz$

Step-by-step solution

Introduction

The given is the

The objective is to find the

The method used here is