Physics Force & Motion NUMS 2023
PMDC Verified Question 52 of 137
Range of a projectile on a horizontal plane is same for the following pair of angles:
A
\( 15 \text{ & } 30 \)
B
\( 60 \text{ & } 25 \)
C
\( 75 \text{ & } 15 \)
D
\( 50 \text{ & } 25 \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \( 75 \text{ & } 15 \)
Concept:

Two launch angles provide the identical horizontal range if they are complementary (sum exactly to 90 degrees).

Solution:

  • Check the sums of the angle pairs:


  • A: \( 15 + 30 = 45 \).


  • B: \( 60 + 25 = 85 \).


  • C: \( 75 + 15 = 90 \). This pair is complementary.


  • D: \( 50 + 25 = 75 \).


Why other options are incorrect:

Trigonometry dictates \( \sin(2\theta_1) = \sin(2\theta_2) \) only if \( \theta_1 + \theta_2 = 90^\circ \).

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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