AIIMS 2000 Physics Conservation of Angular Momentum MCQ Question
A body is projected from the ground with some angle to the horizontal. What happens to the angular momentum about the initial position in this motion?
decreases
increases
remains same
first increases and then decreases
Correct Answer
Detailed Explanation
When a body is projected at an angle to the horizontal, it moves in a parabolic trajectory. The angular momentum of the body about the initial position is given by the formula: , where is the position vector and is the linear momentum. As the body moves, its distance from the initial position increases, leading to an increase in angular momentum. Therefore, the angular momentum about the initial position increases as the body rises and moves away from the ground. The other options are incorrect because: A) Angular momentum does not decrease in this scenario; C) It does not remain the same due to the increasing distance; D) It does not first increase and then decrease, as it continuously increases until the body reaches its peak and starts descending.
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