A proton and a deutron ( q = + e , m = 2.0 u ) having same kinetic energies enter a region of uniform magnetic field B , moving perpendicular to B . The ratio of the radius r d of deutron path to th

Question

A proton and a deutron ( q = + e , m = 2.0 u ) having same kinetic energies enter a region of uniform magnetic field B , moving perpendicular to B . The ratio of the radius r d ​ of deutron path to the radius r p ​ of the proton path is:

TestHub · Accepted Answer

In uniform magnetic field, R = qB m ν ​ = qB 2 m ( K . E ) ​ ​ Since same K.E ​ R ∝ q m ​ ​ ∴ R proton ​ R deutron ​ ​ = m p ​ m d ​ ​ ​ × q d ​ q p ​ ​ = 2 ​ × 1 ∴ γ d ​ : γ p ​ = 2 ​ : 1 ​

Physics - Magnetism Question with Solution | TestHub

Options:

Doubts & Discussion