Question

obtain the dimensions of power from its defining equation​

Answer 1

$\huge{\underline{\boxed{\red{\sf{Answer :}}}}}$

${\sf{\orange{Dimension \: Formula \: of \: Power \: = \: ML^2T^{-3}}}}$

________________________________

A.T.Q,

Using Formula :-

Formula for Power is

$\huge{\boxed{\sf{P \: = \: {\frac{W}{T}}}}}$____________(1)

Where W is Work Done

And

T is Time

$\rule{200}{2}$

We know that

${\sf{\green{Dimensional \: formula \: of \: Work \: = \: M^1L^{2}T^{-2}}}}$

And

${\sf{\green{Dimensional \: formula \: of \: Time \: = \: M^{0}L^{0}T^{1}}}}$

$\rule{200}{2}$

Put Value of Work Done and Time in (1)

We Get :-

$\huge{\boxed{\sf{P \: = \: {\frac{ML^{2}T^{-2}}{T}}}}}$

$\huge{\implies}{\boxed{\blue{\sf{P \: = \: ML^{2}T^{-3}}}}}$

Answer 2

$\huge{\boxed{\boxed{\mathfrak{\pink{Answer}}}}}$

________________________________

A.T.Q,

Using Formula :-

Formula for Power is

$\huge{\boxed{\sf{P \: = \: {\frac{W}{T}}}}}$

_________________(1)

Where W is Work Done

And

T is Time

We know that

${\sf{\red{Dimensional \: formula \: of \: Work \: = \: M^1L^{2}T^{-2}}}}$

And

${\sf{\red{Dimensional \: formula \: of \: Time \: = \: M^{0}L^{0}T^{1}}}}$

Put Value of Work Done and Time in (1)

We Get :-

$\huge{\boxed{\sf{P \: = \: {\frac{ML^{2}T^{-2}}{T}}}}}$

$\huge{\implies}{\boxed{\red{\sf{P \: = \: ML^{2}T^{-3}}}}}$