Question

if energy impulse and frequency are the fundamental quantities than find the dimension of mass length and time​

Answer 1

⭐《ANSWER》

$\huge\mathfrak{\underline {\underline\pink {ANSWER}}}$

↪Actually welcome to the concept of the DIMENSIONAL ANALYSIS

↪ The quatities that are entitled are , energy, Impulse and Frequency

↪so basically here we get as

↪a = 0 , b = 1 and c = -2

↪so substituting we get as

〽[ M L T ] = K [E]^a [J]^b [f]^c

〽[M L T ] = J / f^2

↪===》 J.f^-2

Answer 2

Energy = Work = Force * Displacement

------------------------------------

=[ M^1L^1T-2 ][L]

Dimension of energy = M^1L^2T-2

Formula of Impulse = Force *Time

= [ M^1L^1T-2 ][T]

= [ M^1L^1T-1]

-----------------------------------------------

Frequency = 1/Time period

= 1/[T]

= [T^-1]

----------------------

Dimensions :

[ M^1L^1T^1 ]= [M^1L^2T-2]^x [ M^1L^1T-1]^y[T^-1] ^z

After comparing we will get :

three equations will be form

1 ) x + y =1

2) -2x -y -z =1

3) 2x +y = 1

After solving equations

x = 0

y = 1

z =-2

So...

= E^0I^1f^-2

= I /f^2

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