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TS EAMCET · Physics · Units and Dimensions

Which of the following is the unit of mobility of a electron in a conductor?

  1. A \(\mathrm{kg}^{-1} \mathrm{~s}^2 \mathrm{~A}^{-1}\)
  2. B \(\mathrm{kg}^{-1} \mathrm{~s}^2 \mathrm{~A}\)
  3. C \(\mathrm{kg}^{-1} \mathrm{~ms}^2 \mathrm{~A}^{-1}\)
  4. D \(\mathrm{kg} \mathrm{ms}^{-1} \mathrm{~A}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\mathrm{kg}^{-1} \mathrm{~s}^2 \mathrm{~A}\)

Step-by-step Solution

Detailed explanation

Mobility is given as \(\mu=\frac{e \tau}{\mathrm{m}}\) So, unit of \(\mu\) is \(\frac{\text { coulomb }-\mathrm{sec}}{\mathrm{kg}}\) i.e. \(\mathrm{kg}^{-1} \mathrm{~s}^2 \mathrm{~A}\)
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