Two particle x and y having equal charges, are accelerated through potential differences V and 4v respectively and enter in a region of uniform magnetic field. The particles describe path of radii `R_(1)` and `R_(2)` respectively. What is the ratio of masses of x and y?

Explanation

To solve the problem, we need to find the ratio of the masses of two particles X and Y that have equal charges and are accelerated through different potential differences before entering a magnetic field. Let's break down the solution step by step.

### Step 1: Understand the relationship between radius, mass, charge, and potential difference
When a charged particle moves in a magnetic field, the radius of its path is given by the formula:
\[ R = \frac{mv}{QB} \]
where:
...