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 –

• A. M^–3L^–2T^–2A^–4
• B. ML^–2
• C. M^–3L^–2A⁴T⁸
• D. M^–3L^–2A⁴T⁴

Answer 1

Answer: (C)

M^–3L^–2A⁴T⁸

Answer 2

X = 3YZ²

$\lbrack Y\rbrack = \frac{\lbrack X\rbrack}{\lbrack Z\rbrack^{2}} = \frac{\lbrack M^{- 1}L^{- 2}T^{4}A^{2}\rbrack}{\lbrack MT^{- 2}A\rbrack^{2}}$

= [M^–3L^–2T⁸A⁴]