Q129 / 160 · TS EAMCET 2021 (04 Aug Shift 1) · Physics

The potential energy of a particle in a central field has the form U(r)=1r2-1r, where 'r' is the distance from the centre of the field. The magnitude of the maximum attractive force in Newton is

  • Correct answer
    A
    127
  • B
    19
  • C
    13
  • D
    1

Solution

The relation between central force and potential energy is, 
F=-dUdr, given value of potential energy of a particle in a central field, 
Ur=1r2-1r, it means, 
F=-d1r2-1rdr=-2r3+1r2, 

for maximum force, d-2r3+1r2dr=0⇒3r4-2r3=0⇒r=32, 

⇒F=127

Hence, the correct answer is option: 'A'.

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