Physics

If F is the force, S is the displacement and V is the velocity of the particle, the dimensions of the ratio $$F S/{ V }^{ 2 }$$ will be


ANSWER

$${ M }\quad { L }^{ o }\quad { T }^{ o }$$


SOLUTION
The dimensions of the force is $$F=MLT^{-2}$$

Since S is the displacement. so, it has dimensions $$S=[L]$$

The dimensions of the velocity is $$V=[LT^{-1}]$$

$$\dfrac{FS}{V^2}=\dfrac{ML^2T^{-2}}{L^2T^{-2}}=ML^0T^0$$

Option $$\textbf B$$ is the correct answer
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Single Correct Medium Published on 18th 08, 2020
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