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} $

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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}}] $



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