Physics Dawn of Modern Physics BUMHS 2022
PMDC Verified Question 34 of 52
The units of the equation of Compton scattering \( \Delta\lambda = \frac{h}{m_o c}(1-\cos\theta) \) are of:
A
Length
B
Time
C
Mass
D
Frequency
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Length
Concept:

Dimensional analysis ensures that both sides of a physical equation carry the identical fundamental units.

Formula:

$$ \Delta\lambda = \lambda_f - \lambda_i $$

Solution:

  • The left side of the equation is \( \Delta\lambda \), which represents the shift in wavelength.


  • Wavelength is a spatial dimension, measured fundamentally in meters.


  • Therefore, the entire right side of the expression, often called the Compton wavelength \( (\frac{h}{m_oc}) \), must also evaluate to units of Length.


Why other options are incorrect:

Time (seconds), Mass (kg), and Frequency (Hertz) do not match the dimensions of wavelength.

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