Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

If w, x, y and z are mass, length, time and current respectively, then $\frac{x^2 w}{y^3 z}$ has dimensional formula same as

Options:

electric potential

capacitance

electric field

permittivity

Correct Answer:

electric potential

Explanation:

$\left[\frac{x^2 w}{y^3 z}\right]=\frac{M L^2}{T^3 A}$

$\Rightarrow {\left[\frac{x^3 w}{y^3 z}\right]=\frac{M L^2 T^{-2}}{A T}=\frac{[\text { Work }]}{[\text { Charge }]} }$

$\Rightarrow \left[\frac{y^3 w}{y^3 z}\right]=\frac{[\text { Work] }}{[\text { Charge }]}$ = [Potential]