An α -particle (mass 4 amu) and a singly charged Sulphur ion (mass 32 amu) are initially at rest. They are accelerated through a potential V and then allowed to pass into a region of uniform magnetic field which is normal to the velocities of the partic

Question

An  &#945; -particle (mass  4  amu) and a singly charged Sulphur ion (mass  32  amu) are initially at rest. They are accelerated through a potential  V  and then allowed to pass into a region of uniform magnetic field which is normal to the velocities of the particles. Within this region, the  &#945; -particle and the sulphur ion move in circular orbits of radii  R &#945;  and  R S , respectively. The ratio  R S R &#945;  is __________ .

Quantrex Academy · Accepted Answer

Correct answer: A. A

When a particle moves on a circular path in a magnetic field then, &#8757; R = m v q B = 2 m E q B = 2 m q V q B = 2 m V q B According to given data, &#8757; V = constant &#38; &#160; B = constant &#8756; R &#8733; m q R &#945; R S = m &#945; q &#945; &#215; q S m S = 4 2 &#215; 1 32 &#8658; R &#945; R S = 1 16 = 1 4 Then,  R S R &#945; = 4

JEE Advanced Physics Question (2021) — Solution

Question

Options

Answer

Step-by-step solution