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1. units,dimensions and measurement — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics1. units,dimensions and measurement1 Mark
MCQ
Which of the following physical quantities have the same dimensions?
  • ✓
    Electric displacement $(\overrightarrow{ D })$ and surface charge density
  • B
    Displacement current and electric field
  • C
    Current density and surface charge density
  • D
    Electric potential and energy
✓

Answer

Correct option: A.
Electric displacement $(\overrightarrow{ D })$ and surface charge density
a
Electric displacement

$\overrightarrow{ D }=\in_{0} \overrightarrow{ E }$

$[ D ]=\left[\in_{0} E \right]=\left[\in_{0} \frac{\sigma}{\in_{0}}\right]$

$[ D ]=[\sigma]$

$\rightarrow$ Surface change density $=\sigma$.

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