Physics And Measurement Question 121
Question: A force $ F $ is given by $ F=at+bt^{2} $ , where $ t $ is time. What are the dimensions of $ a $ and $ b $
[AFMC 2001; BHU 1998, 2005]
Options:
A) $ ML{{T}^{-3}} $ and $ ML^{2}{{T}^{-4}} $
B) $ ML{{T}^{-3}} $ and $ ML{{T}^{-4}} $
C) $ ML{{T}^{-1}} $ and $ MLT^{0} $
D) $ ML{{T}^{-4}} $ and $ MLT^{1} $
Show Answer
Answer:
Correct Answer: B
Solution:
From the principle of dimensional homogenity
$ [a]=[ \frac{F}{t} ]=[ML{{T}^{-3}}] $
and $ [b]=[ \frac{F}{t^{2}} ]=[ML{{T}^{-4}}] $
