JEE MAIN - Physics (2022 - 27th June Evening Shift - No. 26)

A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If rd and rp are the radii of their circular paths respectively, then the ratio $${{{r_d}} \over {{r_p}}}$$ will be $$\sqrt{x}$$ : 1 where x is __________.
Answer
2

Explanation

$$R = {{\sqrt {2mK} } \over {qB}}$$

So, $${{{r_d}} \over {{r_p}}} = {{\sqrt {{m_d}} /{q_d}} \over {\sqrt {{m_p}} /{q_p}}}$$

$$ = \sqrt 2 $$

So $$x = 2$$

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