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Q.

In the formula  X=5YZ2, X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y?

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a

[M1L2T4A2]

b

[M2L1T6A3]

c

[M3L2T8A4]

d

[M2L2T6A3]

answer is A.

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Detailed Solution

X=5YZ2 X=capacitance=QV =Q2ω=Q2F.L=A2T2M1L1T2×L=A2M1L2T4 Z=B=Fil=M1L1T2A1L1=M1L0T2A1 Z2=M2T4A2 Y=XZ2=M1L2T4A2M2T4A2 =M3L2T8A4

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