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Rotational Motion question

2018 · Shift 1 · Q54
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Rotational Motion question

2018 · Shift 1 · Q54

JEE AdvancedPhysicsRotational MotionMultiple correct+4 / −1
The potential energy of a particle of mass mmm at a distance rrr from a fixed point OOO is given by V(r)=kr2/2,V\left( r \right) = k{r^2}/2,V(r)=kr2/2, where kkk is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius RRR about the point OOO. If vvv is the speed of the particle and LLL is the magnitude of its angular momentum about O,O,O, which of the following statements is (are) true?
  1. A
    v=k2mRv = \sqrt {{k \over {2m}}} Rv=2mk​​R
  2. B
    v=kmRv = \sqrt {{k \over m}} Rv=mk​​R
  3. C
    L=mkR2L = \sqrt {mk} {R^2}L=mk​R2
  4. D
    L=mk2R2L = \sqrt {{{mk} \over 2}} {R^2}L=2mk​​R2
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