When an α -particle of mass m moving with a undefined velocity bombards on a heavy nucleus of charge Ze ,…

When an α -particle of mass  m moving with a undefined velocity bombards on a heavy nucleus of charge Ze, its distance of the closest approach from the nucleus depends on m as:
  1. 1 m
  2. 1 m
  3. 1m2
  4. m

Solution

At the distance of the lowest approach, total K.E. of α-particle changes to P.E. So,
12mv2=KQ.qr=KZe2er
r=4K Ze2mv2r1m
r1m

Asked in: NEET 2016 (Phase 1)

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