Verified Solution • 2025–26 Session moderate

QJEEM20Ph096d: JEE Main 2020 Physics - Class 12 JEEM20Ph096d Solution: Hydrogen ion and singly ionized helium atom are accelerated,…

Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio of final speeds of hydrogen and helium ions is close to :

Multiple Choice Options

  • A 2:01
  • B 1:02
  • C 5:07
  • D 10:07

Step-by-Step Verified Solution

We know, kinetic energy K = qV

also K=P22mK = {{{P^2}} \over {2m}}

∴\therefore qV=P22m=m2v22mqV = {{{P^2}} \over {2m}} = {{{m^2}{v^2}} \over {2m}}

V=2qvmV = \sqrt {{{2qv} \over m}}

V∝qmV \propto \sqrt {{q \over m}}

VHVHe=eme4m=21{{{V_H}} \over {{V_{He}}}} = {{\sqrt {{e \over m}} } \over {\sqrt {{e \over {4m}}} }} = {2 \over 1}

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring