Physics And Measurement Question 243
Question: If $ v=\frac{a}{t}+bt^{3} $ where $ v= $ velocity and t is time The dimensional formula of a and b are
Options:
A) $ [T],[{{T}^{-3}}] $
B) $ [L],[L{{T}^{-4}}] $
C) $ [{{T}^{-3}}],[T] $
D) $ [L{{T}^{-4}}],[L] $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Dimensionally $ v=\frac{a}{t}\Rightarrow a=L{{T}^{-1}}\times T=L $ also dimensionally $ v=bt^{3}\Rightarrow b=\frac{L{{T}^{-1}}}{T^{3}}=L{{T}^{-4}} $
