Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

If energy E, velocity v and time T are chosen as fundamental units, the dimensions of surface tension will be:

Options:

$[Ev^{–2}T^{–2}]$

$[Ev^{–1}T^{–2}]$

$[Ev^2T^{–1}]$

$[E^2v^{–1}T^{–1}]$

Correct Answer:

$[Ev^{–2}T^{–2}]$

Explanation:

The correct answer is Option (1) → $[Ev^{–2}T^{–2}]$

$Surface\, tension = \frac{force}{length}$

$=\frac{energy}{length × length}=\frac{energy}{(speed \times time)^2}$

$=EV^{–2}T^{–2}$