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In the fourmula `X=3YZ^(2), X` and `Z` have dimensions of capacitance and magnetic induction respectivey. What are the dimensions of `Y` is `MKSQ` system?A. `ML^(-2)`B. `ML^(-2)T^(-1A)`C. `ML^(-1)T^(-2)A^(2)`D. `L^(-1)A^(-1)` |
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Answer» (1) Since (Capacity (Farad) `=[M^(-1)L^(-2)T^(4)A^(2)]` `=["Magnetic field" ("tesla")]=[ML^(0)T^(-2)A^(-1)]` `therefore ["Dimension of x"]` `=[M^(-1)L^(-2)T^(4)A^(2)]xx[M^(2)L^(-4)A^(-2)]=[ML^(-2)]` |
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