Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

In the formula $X = 3 YZ^2$, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSA system are :

Options:

$[M^{–3}L^{–2}T^{–2}A^{–4}]$

$[ML^{–2}]$

$[M^{–3}L^{–2}A^4T^8]$

$[M^{–3}L^2A^4T^4]$

Correct Answer:

$[M^{–3}L^{–2}A^4T^8]$

Explanation:

The correct answer is Option (3) → $[M^{–3}L^{–2}A^4T^8]$

$Dimensions\, of\, Y = \frac{dimensions\, of\, X}{dimensions\, of\, Z^2}$

$=\frac{M^{-1}L^{-2}T^4A^2}{(MT^{-2}A^{-2})^2}$

$=[M^{–3}L^{–2}T^8A^4]$