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A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is
  • a)
    2 L
  • b)
    4 L
  • c)
    L/2
  • d)
    L/4
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A particle performing uniform circular motion has angular momentum L. ...
Angular momentum of a particle performing uniform circular motion L = Iω
Kinetic energy, K = 1/2Iω^2
Therefore, L= 2K/ω^2 (2) = 2K/ω
L1 / L2 ​​= K1​ω2L1/​K2ω1L2​ ​​= 2 x 2 = 4
L2 = L/4.​
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A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum isa)2 Lb)4 Lc)L/2d)L/4Correct answer is option 'D'. Can you explain this answer?
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