Question

In any experiment to measure ratio of radii of circular paths. Two
particles having charge 2q and q are projected with same speed
v. If the masses of particles are m and 2m respectively. If these
particles are projected perpendicularly in uniform magnetic field
B, then ratio of radii of their circular paths will be
1
2
4
1
3​

Answer 1

Answer:

1:4 I hope It will help you

Answer 2

The ratio of radii of their circular paths will be 1 : 4

Explanation:

The radius r of a particle of mass m and charge q moving in a magnetic field v with velocity v is given by

$r=\frac{mv}{qB}$

Given that particles are having mass m and 2m and their charges are 2q and q respectively

If the radius of their circular paths are $r_1$ and $r_2$ respectively then

$\frac{r_1}{r_2}=\frac{mv/2qB}{2mv/qB}$

$\implies \frac{r_1}{r_2}=\frac{1}{4}$

$\implies r_1:r_2=1:4$

Hope this answer is helpful.

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