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Questions  

In the formula X=3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. what are the dimensions of Y in MKSQ system?

a
M−2L−2T3Q4
b
M−3L−2T4Q4
c
M−2L−2T4Q4
d
M−3L−1T3Q4

detailed solution

Correct option is B

C=qV=q2W[X]→[C]=M−1L−2T2Q2 And [B]=FiL[Z]→[B]=MLT−2QT−1L=MT−1Q−1 Given, Y=X3Z2[Y]=M−1L−2T2Q2MT−1Q−12=M−3L−2T4Q4

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