SATHEE: Physics And Measurement Question 121

Physics And Measurement Question 121

Question: A force $F$ is given by $F = a t + b t^{2}$ , where $t$ is time. What are the dimensions of $a$ and $b$

[AFMC 2001; BHU 1998, 2005]

Options:

A) $M L T^{- 3}$ and $M L^{2} T^{- 4}$

B) $M L T^{- 3}$ and $M L T^{- 4}$

C) $M L T^{- 1}$ and $M L T^{0}$

D) $M L T^{- 4}$ and $M L T^{1}$

Show Answer

Answer:

Correct Answer: B

Solution:

From the principle of dimensional homogenity

$[a] = [\frac{F}{t}] = [M L T^{- 3}]$

and $[b] = [\frac{F}{t^{2}}] = [M L T^{- 4}]$

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Physics And Measurement Question 121

Question: A force F is given by F=at+bt2 , where t is time. What are the dimensions of a and b

Options:

Answer:

Solution:

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Question: A force $F$ is given by $F = a t + b t^{2}$ , where $t$ is time. What are the dimensions of $a$ and $b$