Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2016
Exam
NEET
Year
2016
Subject
Physics
Chapter
Nuclear Physics

NEET 2016 · Physics · Nuclear Physics

When an α -particle of mass m moving with a undefined velocity...

When an α\alpha -particle of mass mm moving with a undefined velocity bombards on a heavy nucleus of charge ZeZe, its distance of the closest approach from the nucleus depends on mm as:

Options

  1. A1m\dfrac{1}{m}
  2. B1m\dfrac{1}{\sqrt{m}}
  3. C1m2\dfrac{1}{{m}^{2}}
  4. Dmm

Correct answer

A. 1m\dfrac{1}{m}

Step-by-step solution

At the distance of the lowest approach, total K.E. of α\alpha-particle changes to P.E. So,
12mv2=KQ.qr=K(Ze)(2e)r\dfrac{1}{2}m{v}^{2} = \dfrac{KQ . q}{r} = \dfrac{K\left(Ze\right)\left(2e\right)}{r}
r=4KZe2mv2⇒r∝1mr = \dfrac{4KZ{e}^{2}}{m{v}^{2}} ⇒ r ∝ \dfrac{1}{m}
r∝1mr ∝ \dfrac{1}{m}
Practice Nuclear Physics on Quantrex Academy →

More from Nuclear Physics

Consider the following nuclear fission reaction _0^1 n + _ 92 ^ 235 U arrow _Z^A Y + _ 41… MHT CET Medical 2026Two spherical nuclei have mass numbers 216 and 64 with their radii R_1 and R_2… MHT CET Medical 2026At time t = 0 , the activity of a radioactive substance is 1600 Bq. At t= 8 s, the… MHT CET Medical 2026A radioactive nucleus _ 92 X^ 235 decays to _ 91 Y^ 231 . Which of the following… MHT CET Medical 2026In a given reaction, ^ A _ Z X arrow ^ A _ Z+1 Y arrow ^ A-4 _ Z-1 K arrow ^ A-4 _ Z-1 K… MHT CET Medical 2026When a nucleus in an atom undergoes a radioactive decay, the atomic number and/or mass… MHT CET Medical 2026A common example of β^- decay is _ 15 ^ 32 _ 16 ^ 32 + x + y Then x and y , respectively… MHT CET Medical 2026For a radioactive nucleus that undergoes β^+ decay, which of the following CANNOT occur? MHT CET Medical 2026 Full Nuclear Physics list All NEET PYQs