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In the formula, $a = 3 b c^{2},$ a and c have dimensions of electric capacitance and magnetic induction respectively. What are dimensions of b in MKS system?

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[M−3L−2T4Q4]

[M−3T4Q4]

[M−3T3Q]

[M−3L2T4Q−4]

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detailed solution

Correct option is A

Given, a=3bc2⇒ b=a3c2Writing dimensional for a and c, we have[b]=[Q/V][B2]=[Q]/[ML2T−2Q−1][MT−1Q−1]2=[M−3L−2T4Q4]

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In the formula, a=3bc2, a and c have dimensions of electric capacitance and magnetic induction respectively. What are dimensions of b in MKS system?

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In the formula, $a = 3 b c^{2},$ a and c have dimensions of electric capacitance and magnetic induction respectively. What are dimensions of b in MKS system?