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← JEE Main 2022 · 27 Jun · Shift 2
PhysicsInteger+4 / -1Question 58 of 90

JEE Main 2022 · 27 Jun · Shift 2, Physics question 58

A deuteron and a proton moving with equal kinetic energy enter into to a uniform magnetic field at right angle to the field. If rdr_d and rpr_p are the radii of their circular paths respectively, then the ratio rdrp\dfrac{r_d}{r_p} will be x:1\sqrt x:1 where xx is ______.

Answer and worked solution

Official answer: 2

Same kinetic energy. r=2mKqB∝mr=\dfrac{\sqrt{2mK}}{qB}\propto\sqrt m for equal charge: rdrp=2\dfrac{r_d}{r_p}=\sqrt2.

Answer: 2