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}} $



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