AIIMS2019Physics-Mechanics
AIIMS 2019 Physics Impulse and Momentum MCQ Question
Type: MCQ-numerical-Medium-Class 11
Consider the given expression. F = (100 - 0.5 × 10⁵ t) N Given that, F = 0 (100 - 0.5 × 10⁵ t) = 0 t = 100 / (0.5 × 10⁵) = 2 × 10⁻³ sec Calculate the impulse as, I = ∫ F dt = ∫ (100 - 0.5 × 10⁵ t) dt = [100t - (10⁵ t² / 2)] = [100(2 × 10⁻³) - (10⁵ (2 × 10⁻³)² / 2)] = 0.1 Ns
A
0.1 Ns
B
0.2 Ns
C
0.3 Ns
D
0.4 Ns
Correct Answer
Option C
Detailed Explanation
The impulse is calculated by integrating the force over time, which yields . Evaluating this from to seconds gives , confirming that option A is correct. Options B, C, and D are incorrect as they do not match the calculated impulse value, demonstrating the importance of careful integration and evaluation in determining impulse from varying forces.
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