Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

In the formula x = 3yz2, x and z have dimensions of capacitance and magnetic induction field strength respectively. The dimensions of y in system is :

Options:

$M^{-3} L^{-2} T^4 Q^4$

$M^{-2} L^{-2} T^4 Q^4$

$M^{-2} L^{-2} T^4 Q^4$

$M^{-3} L^{-2} T^{4} Q$

Correct Answer:

$M^{-3} L^{-2} T^4 Q^4$

Explanation:

x = 3yz2

Dimension of y = $\frac{x}{z^2}$

= $\frac{\text{Capicitance}}{\text{(Magnetic induction)}^2}$

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

= $M^{-3} L^{-2} T^4 Q^4$