Physics Rotational & Circular Motion NUMS 2024
PMDC Verified Question 22 of 95
How many degrees in \( 2\pi/5 \text{ radians} \)?
A
\( 80^\circ \)
B
\( 50^\circ \)
C
\( 72^\circ \)
D
\( 120^\circ \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \( 72^\circ \)
Concept:

To convert radians to degrees, we can safely replace the constant \( \pi \) with its degree-equivalent of a half-circle (\( 180^\circ \)).

Formula:

$$ \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} $$

Solution:

  • Given angle: \( \frac{2\pi}{5} \).
  • Substitute \( \pi = 180^\circ \).
  • Calculation: \( \frac{2 \times 180^\circ}{5} \).
  • \( \frac{360^\circ}{5} = 72^\circ \).


Why other options are incorrect:

  • Option D is \( 2\pi/3 \text{ radians} \).
  • Option A and Option B are mathematical errors when dividing 360 by 5.

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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