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in the formula x 3yz x has dimensions of capacitan
Question:
In the formula X = 3YZ², X has dimensions of capacitance and magnetic induction respectively. The dimensional formula of Y in MKSA system is
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Always convert each physical quantity into base dimensions first.
BITSAT - 2017
BITSAT
Updated On:
Mar 20, 2026
\([M^{-3}L^{-2}T^{-2}A^{-4}]\)
\([ML^{-2}]\)
\([M^{-3}L^{-2}A^{-4}]\)
[M⁻3L⁻2AT⁴]
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The Correct Option is
A
Solution and Explanation
Step 1:
Dimensional formula Capacitance: [C] = [M⁻1L⁻2T⁴A²] Magnetic induction: [B] = [MT⁻2A⁻1]
Step 2:
From X = 3YZ² [Y] = ([X])/([Z]²)
Step 3:
Substituting dimensions gives option (A).
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