General Physics Question 25
Question 25
- In the formula $X=3 Y Z^{2}, X$ and $Z$ have dimensions of capacitance and magnetic induction, respectively. The dimensions of $Y$ in MKSQ system are
(1988, 2M)
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Answer:
Correct Answer: 33. $\left[\mathrm{M}^{-3} \mathrm{~L}^{-3} \mathrm{~T}^{4} \mathrm{Q}^{4}\right]$
Solution:
- $[X]=[C]=\left[\mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^{2} \mathrm{Q}^{2}\right]$
$$ \begin{aligned} & {[Z]=[B]=\left[\mathrm{M} \mathrm{T}^{-1} \mathrm{Q}^{-1}\right] \quad \because \text { Given } Y=\frac{X}{3 Z^{2}} } \ \therefore \quad & {[Y]=\frac{\left[\mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^{2} \mathrm{Q}^{2}\right]}{\left[\mathrm{MT}^{-1} \mathrm{Q}^{-1}\right]^{2}}=\left[\mathrm{M}^{-3} \mathrm{~L}^{-2} \mathrm{~T}^{4} \mathrm{Q}^{4}\right] } \end{aligned} $$
