A) \[{{({{R}_{1}}/{{R}_{2}})}^{1/2}}\]
B) \[{{R}_{2}}/{{R}_{1}}\]
C) \[{{({{R}_{1}}/{{R}_{2}})}^{2}}\]
D) \[{{R}_{1}}/{{R}_{2}}\]
Correct Answer: C
Solution :
[c] K.E. of first particle\[=\frac{1}{2}{{m}_{1}}v_{1}^{2}=qV\] .... (i) K.E. of second particle \[=\frac{1}{2}{{m}_{2}}v_{2}^{2}=qV\] After entering the magnetic field, a magnetic force acts on the charged particle which moves the charged particle in circular path of radius \[R=\frac{\sqrt{2mK}}{qB}\] Here, K, q, B are equal \[\therefore \,\,\,\,\,\,{{R}^{2}}\propto m\Rightarrow \frac{{{m}_{1}}}{{{m}_{2}}}=\frac{R_{1}^{2}}{R_{2}^{2}}\] From (i) and (ii)
You need to login to perform this action.
You will be redirected in
3 sec
