Question

In the formula X = 3YZ², X has dimensions of capacitance and magnetic induction respectively. The dimensional formula of Y in MKSA system is

• A. \([M^{-3}L^{-2}T^{-2}A^{-4}]\)
• B. \([ML^{-2}]\)
• C. \([M^{-3}L^{-2}A^{-4}]\)
• D. [M⁻3L⁻2AT⁴]

Hint:

Always convert each physical quantity into base dimensions first.

Answer 1

The Correct Option is A

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).