Verified Solution • 2025–26 Session hard

QJEEM_2024_22: JEE Main 2024 JEEM_2024_22 Solution: A particle of mass m is projected with speed v at an angle of…

A particle of mass m is projected with speed v at an angle of 30° with the horizontal, find its angular momentum about point of projection when it reaches its maximum height.

Multiple Choice Options

  • A mv³/(16g)
  • B mv³/3
  • C mv³/(3g)
  • D mv³/(8g)

Step-by-Step Verified Solution

Velocity at max height = v cos 30° => H = (v² sin² 30°)/(2g) => L = m(v cos 30°)H => L = mv³ => L = m(v cos 30°)H => L = mv³/(16g)

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