Physics Force & Motion UHS 2024
PMDC Verified Question 10 of 137
The range of projectile will be maximum if the factor \( \sin(2\theta) \) becomes
A
Zero
B
1
C
-1
D
2
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: 1
Concept:

Maximizing the kinematic range equation.

Formula:

$$ R = \frac{v_i^2 \sin(2\theta)}{g} $$

Solution:

  • For a given initial velocity \( v_i \) and gravity \( g \), the range \( R \) relies entirely on the value of \( \sin(2\theta) \).


  • The mathematical sine function fluctuates strictly between -1 and +1.


  • Therefore, its absolute maximum possible value is 1, which directly yields the maximum range.


Why other options are incorrect:

Zero means the projectile lands exactly where it started. 2 is mathematically impossible for a raw sine function.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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