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Which of the following combinations has the dimension of electrical resistance ( is the permittivity of vacuum and
is the permeability of vacuum) ?
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Unit and Dimension -
Ohm.mt - S.I Unit
- wherein
specific resistance
Dimension of![\varepsilon _{0}=\left[M^{-1}L^{-3}T^{4}A^{2}} \right ]](https://learn.careers360.com/latex-image/?%5Cvarepsilon%20_%7B0%7D%3D%5Cleft%5BM%5E%7B-1%7DL%5E%7B-3%7DT%5E%7B4%7DA%5E%7B2%7D%7D%20%5Cright%20%5D)
Dimension of![\mu_{0}=\left[MLT^{-2}A^{-2} \right ]](https://learn.careers360.com/latex-image/?%5Cmu_%7B0%7D%3D%5Cleft%5BMLT%5E%7B-2%7DA%5E%7B-2%7D%20%5Cright%20%5D)
Check option (1)![\sqrt{\frac{\mu_{0}}{\varepsilon _{0}}}=\frac{\left[MLT^{-2}A^{-2} \right ]^{1/2}}{\left[M^{-1}L^{-3}T^{4}A^{2} \right ]^{1/2}}](https://learn.careers360.com/latex-image/?%5Csqrt%7B%5Cfrac%7B%5Cmu_%7B0%7D%7D%7B%5Cvarepsilon%20_%7B0%7D%7D%7D%3D%5Cfrac%7B%5Cleft%5BMLT%5E%7B-2%7DA%5E%7B-2%7D%20%5Cright%20%5D%5E%7B1/2%7D%7D%7B%5Cleft%5BM%5E%7B-1%7DL%5E%7B-3%7DT%5E%7B4%7DA%5E%7B2%7D%20%5Cright%20%5D%5E%7B1/2%7D%7D)
![=\left[ML^{2}T^{-3}A^{-2} \right ]=[R]](https://learn.careers360.com/latex-image/?%3D%5Cleft%5BML%5E%7B2%7DT%5E%7B-3%7DA%5E%7B-2%7D%20%5Cright%20%5D%3D%5BR%5D)
Option 1)
Option 2)
Option 3)
Option 4)