Physics Force & Motion NUMS 2022
PMDC Verified Question 91 of 137
Which of the following pair of angles have same range for a projectile?
A
\( 10^\circ \text{ and } 20^\circ \)
B
\( 75^\circ \text{ and } 15^\circ \)
C
\( 45^\circ \text{ and } 60^\circ \)
D
\( 0^\circ \text{ and } 30^\circ \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: \( 75^\circ \text{ and } 15^\circ \)
Concept:

Any two launch angles that add up to 90 degrees (complementary angles) will produce the exact same horizontal range.

Formula:

$$ \text{If } \theta_1 + \theta_2 = 90^\circ, \text{ then } R_1 = R_2 $$

Solution:

  • We simply check the sum of each pair provided in the options.


  • A: \( 10 + 20 = 30^\circ \).


  • B: \( 75 + 15 = 90^\circ \). (This is the correct complementary pair).


  • C: \( 45 + 60 = 105^\circ \).


  • D: \( 0 + 30 = 30^\circ \).


Why other options are incorrect:

Only complementary angles exploit the symmetry of the \( \sin(2\theta) \) function in the range equation.

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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