Magnetic Effects Of Current Question 345

Question: Two ions having masses in the ratio 1 : 1 and charges 1 : 2 are projected into uniform magnetic field perpendicular to the field with speeds in the ratio 2 : 3. The ratio of the radii of circular paths along which the two particles move is [EAMCET 2003]

Options:

A) 4 : 3

B) 2 : 3

C) 3 : 1

D) 1 : 4

Show Answer

Answer:

Correct Answer: A

Solution:

$ r=\frac{mv}{qB}\Rightarrow \frac{r_{1}}{r_{2}}=\frac{m_{1}v_{1}}{m_{2}v_{2}}\times \frac{q_{2}}{q_{1}}=\frac{1\times 2}{1\times 3}\times \frac{2}{1}=\frac{4}{3} $