Physics Dawn of Modern Physics UHS 2024
PMDC Verified Question 8 of 52
The de-Broglie wavelength associated with a particle moving at \( 10^6 \text{ m/s} \) and having mass \( 10^{-30} \text{ kg} \)
A
\( 6.6 \times 10^{-10} \text{ m} \)
B
\( 1.5 \times 10^{9} \text{ m} \)
C
\( 1.9 \times 10^{-5} \text{ m} \)
D
\( 7.2 \times 10^{-8} \text{ m} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: \( 6.6 \times 10^{-10} \text{ m} \)
Concept:

Matter possesses wave-like behavior depending directly on its physical momentum.

Formula:

$$ \lambda = \frac{h}{mv} $$

Solution:

  • Given mass \( m = 10^{-30} \text{ kg} \) and velocity \( v = 10^6 \text{ m/s} \).


  • Using \( h \approx 6.6 \times 10^{-34} \text{ J}\cdot\text{s} \).


  • Calculate momentum: \( p = (10^{-30}) \times (10^6) = 10^{-24} \text{ kg m/s} \).


  • Substitute into equation: \( \lambda = \frac{6.6 \times 10^{-34}}{10^{-24}} \).


  • Result: \( \lambda = 6.6 \times 10^{-10} \text{ m} \).


Why other options are incorrect:

The other options are the result of arithmetic mistakes, specifically mishandling the subtraction of negative exponents during the final division step.

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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