InterviewSolution
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InterviewSolution
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In the formula `X = 3YZ^(2),X and Z` have dimensions of capacitance and magnetic induction respectively. The dimensions of `Y` in MKSQ system are ………………, ………………….A. `[M^(2)L^(-2)T^(3)Q^(4)]`B. `[M^(-3)L^(-2)T^(4)Q^(4)]`C. `[M^(-2)L^(-2)T^(4)Q^(3)]`D. `[M^(-3)L^(-1)T^(3)Q^(4)]` |
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Answer» Correct Answer - b `C = (q)/(V) = (q^(2))/(W)` `[X] rarr [C] = [M^(-1)L^(-2)T^(2)Q^(2)` And `[B] = ([F)/(iL])` `[Z] rarr [B] = [(MLT^(-2))/(QT^(-1)L)]= [MT^(-1)Q^(-1)]` given `Y = (X)/(3Z^(2))` `[T] =[(M^(-1)L^(-2)T^(2)Q^(2)])/(MT^(-1)Q^(-1))]^(2) = [M^(-3)L^(-2)T^(-4)Q^(4)]`. |
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