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Question: Answered & Verified by Expert
A particle of mass 20 g is released with an initial velocity 5 m s-1 along the curve from the point A, as shown in the figure. The point A is at height h from point B. The particle slides along the frictionless surface. When the particle reaches point B, its angular momentum about O will be: (Take g=10 m s-2)

PhysicsWork Power EnergyJEE MainJEE Main 2019 (12 Jan Shift 2)
Options:
  • A 3 kg m2 s-1
  • B 2 kg m2 s-1
  • C 6 kg m2 s-1
  • D 8 kg m2 s-1
Solution:
2227 Upvotes Verified Answer
The correct answer is: 6 kg m2 s-1

Applying conservation of energy,

mgh=12mvB2-12mvA2
vB=2gh+vA2
vB=2×10×10+25
vB=15 m s-1
Angular momentum about O

LO=mvBh+a
LO=20×10-3×15×20 kg m2 s-1
LO=6 kg m2 s-1

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