Q31 / 214 · NTA Abhyas (NEET) 2020 · Physics · Oscillations

A pendulum has maximum kinetic energy K1 . If its length is doubled keeping amplitude same then maximum kinetic energy becomes K2 . Then relation between K1 and K2 is:

  • Correct answer
    A
    K2=2K1
  • B
    K1=2K2
  • C
    K2=K1
  • D
    K1=4K2 

Solution

Maximum kinetic energy =12mω2A2

ω=gL

A=Lθ

KE=12 mgL×L2θ2 

KE=12mgLθ2 

If length is doubled

K2=12mg2Lθ2 [Here we are assuming angular amplitude is same]

K1K2=12mglθ212mg2Lθ2=12

K2=2K1 

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

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