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Units and Measurements — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsUnits and Measurements1 Mark
MCQ
Which of the following sets have different dimensions?
  • ✓
    Dipole moment, Electric field and Electric flux.
  • B
    Pressure, Young's modulus, Stress.
  • C
    Heat, Work, Energy.
  • D
    Emf, Potential difference and potential.
✓

Answer

Correct option: A.
Dipole moment, Electric field and Electric flux.
Heat, work and energy are same things, so they have same dimensions.
$\ce{Emf,}$ potential difference and potential have the same dimensions.
$\text{Pressure}=\frac{\text{force}}{\text{area}},\text{stress}=\frac{\text{force}}{\text{area}}$
$​​\text{Y}=\frac{\text{Stress}}{\text{Strain}}=\frac{\frac{\text{force}}{\text{area}}}{\text{dimensionless}}=\frac{\text{force}}{\text{ area}}$
So, they have same dimensions.
But dimension of Dipole moment $= \ce{[M^0L^1T^1A^1]}$
Dimenslion of electric field $= \ce{[M^1L^1T^{-3}-A^{-1}]}$
and dimension of electric flux $= \ce{[M^1L^3T^{-3}-A{-1}]}$
Hence they are different.

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