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.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.