Question

if mass (m) acceleration (a) and velocity (v) are taken as same base quantities the dimensional formula for energy is​

Answer 1

Answer:

$\sf{All \ types \ of \ energy \ has \ same \ dimensional}$

$\sf{formula.}$

$\sf{Here, \ base \ quantities \ are \ mass, \ acceleration}$

$\sf{and \ velocity. }$

$\sf{Potential \ energy=mgh}$

$\sf{\therefore{Potential \ energy=kg \ \dfrac{m}{s^{2}} \ m}}$

$\sf{\therefore{[Potential \ energy]=[M \ L^{2} \ T^{-2}]}}$

$\sf{Hence,}$

$\sf\purple{[ \ Energy \ ]=[ \ M \ L^{2} \ T^{-2} \ ]}$

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$\sf\blue{Note:}$

$\sf{If \ physical \ formula \ is \ correct \ dimensional}$

$\sf{is \ also \ correct, \ but \ if \ dimensional \ formula}$

$\sf{is \ correct \ physical \ formula \ may \ or \ may}$

$\sf{not \ be \ correct.}$