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Need explanation for: - Physical World & Measurement - NEET-2

The dimesnions of (\mu_{o} \epsilon_{o} )^{\frac{-1}{2}}\;are

  • Option 1)

    \left [ L^{\frac{1}{2}}T^{-\frac{1}{2}} \right ]

  • Option 2)

    \left [ L^{-1} \right T ]

  • Option 3)

    \left [ LT^{-1} \right ]

  • Option 4)

    \left [ L^{-\frac{1}{2}}T^{\frac{1}{2}} \right ]

 
Answers (1)
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As learnt in

Dimension -

The power to which fundamental quantities must be raised in order to express the given physical quantities.

-

 

 (u_{\circ} \epsilon_{\circ} ) ^{\frac{1}{2}}= \frac{1}{\sqrt{u_{\circ}\epsilon _\circ}} = C (speed \ of \ light)

\therefore C = LT^{-1}

 


Option 1)

\left [ L^{\frac{1}{2}}T^{-\frac{1}{2}} \right ]

This option is incorrect

Option 2)

\left [ L^{-1} \right T ]

This option is incorrect

Option 3)

\left [ LT^{-1} \right ]

This option is correct

Option 4)

\left [ L^{-\frac{1}{2}}T^{\frac{1}{2}} \right ]

This option is incorrect

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