Question 310: Magnetism and Matter

Question

A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If r
d
and r
p
are the radii of their circular paths respectively, then the ratio $${{{r_d}} \over {{r_p}}}$$ will be $$\sqrt{x}$$ : 1 where x is __________.

Accepted Answer

$$R = {{\sqrt {2mK} } \over {qB}}$$
So, $${{{r_d}} \over {{r_p}}} = {{\sqrt {{m_d}} /{q_d}} \over {\sqrt {{m_p}} /{q_p}}}$$
$$ = \sqrt 2 $$
So $$x = 2$$

Magnetism and Matter

A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If r d and r p are the radii of their circular paths respectively, then the ratio ${{{r_d}} \over {{r_p}}} will be \sqrt{x}$ : 1 where x is __________.

Integer / Numeric Answer Type