AIIMS2019Physics-Projectile Motion

AIIMS 2019 Physics Maximum Height MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A ball of mass 160 g160\text{ g} is thrown up at an angle of 6060^\circ to the horizontal at a speed of 10 m/s10\text{ m/s}. The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly (g=10 m/s2)\left(g = 10\text{ m/s}^2\right)

A

1.73 kgm2/s1.73\text{ kgm}^2/\text{s}

B

3.0 kgm2/s3.0\text{ kgm}^2/\text{s}

C

3.46 kgm2/s3.46\text{ kgm}^2/\text{s}

D

6.0 kgm2/s6.0\text{ kgm}^2/\text{s}

Correct Answer

Option B

Detailed Explanation

Option B is correct because it suggests substituting the expression for maximum height in the angular momentum formula, which is a valid approach to relate the concepts of projectile motion and angular momentum. The other options either misapply the formulas or provide incorrect calculations. For instance, option A correctly states the formula for maximum height, but it does not connect to angular momentum, while option C incorrectly combines the two concepts without proper derivation. Option D presents a numerical example that lacks context and does not follow the correct application of the formulas involved. Understanding the relationship between angular momentum (L = r × mv) and projectile motion is crucial for solving problems in mechanics.

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