Question:
In the formula X = 3YZ², X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSA system are
In the formula X = 3YZ², X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSA system are
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Always write the given formula in dimensional form and isolate the required quantity before substituting dimensions.
Updated On: Mar 19, 2026
- [M⁻3L⁻2T⁻4A⁻4]
- [ML⁻2]
- [M⁻3L⁻2A⁴T⁸]
- [M⁻3L²A⁴T⁴]
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The Correct Option is C
Solution and Explanation
Step 1: Given relation:
X = 3YZ²
⟹ [Y] = ([X])/([Z]²)
Step 2: Dimensions:
[X] = capacitance = [M⁻1L⁻2T⁴A²]
[Z] = magnetic induction = [MT⁻2A⁻1]
Step 3: Substitute:
[Y] = fracM⁻1L⁻2T⁴A²M²T⁻4A⁻2
[Y] = M⁻3L⁻2T⁸A⁴
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