Q.
Given that $2l\sqrt{\frac{m}{T}}$, where $l$ is the length of a string of linear density $m,$ under tension $T$ ha the same dimensional formula as that of
A) Mass
B) Time
C) Length
D) Mole
Explanation
$v = \frac{1}{2l}\sqrt{\frac{T}{m} \Rightarrow \frac{1}{v} = T = 2l\sqrt{\frac{m}{T}}}$ has the dimensions of time.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.