SATHEE: Physics And Measurement Question 130

Physics And Measurement Question 130

Question: If energy $(E)$ , velocity $(v)$ and force $(F)$ be taken as fundamental quantity, then what are the dimensions of mass

[AMU 2000]

Options:

A) $E v^{2}$

B) $E v^{- 2}$

C) $F v^{- 1}$

D) $F v^{- 2}$

Show Answer

Answer:

Correct Answer: B

Solution:

Let $m \propto E^{x} v^{y} F^{z}$

By substituting the following dimensions :

$[E] = [M L^{2} T^{- 2}], [v] = [L T^{- 1}], [F] = [M L T^{- 2}]$

and by equating the both sides $x = 1, y = - 2, z = 0$ .

So $[m] = [E v^{- 2}]$

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Physics And Measurement Question 130

Question: If energy (E) , velocity (v) and force (F) be taken as fundamental quantity, then what are the dimensions of mass

Options:

Answer:

Solution:

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Question: If energy $(E)$ , velocity $(v)$ and force $(F)$ be taken as fundamental quantity, then what are the dimensions of mass