Physics Force & Motion SZABMU 2023
PMDC Verified Question 35 of 137
At what angle of projection of a projectile the range becomes half of its maximum value?
A
\( 15^\circ \)
B
\( 20^\circ \)
C
\( 30^\circ \)
D
\( 40^\circ \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: \( 15^\circ \)
Concept:

Recalling the range formula relative to maximum range.

Formula:

$$ R = R_{\text{max}} \sin(2\theta) $$

Solution:

  • Set \( R = 0.5 R_{\text{max}} \).


  • $$ 0.5 = \sin(2\theta) $$


  • The angle whose sine is 0.5 is \( 30^\circ \).


  • Therefore, \( 2\theta = 30^\circ \implies \theta = 15^\circ \).


Why other options are incorrect:

A very common error is forgetting the '2' multiplier inside the sine function and choosing 30°.

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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