if density D, frequency F, and velocity V are taken as fundamental quantities then dimensional formula for kinetic energy is
Answers
Answer:
Here's your answer :
We know kinetic energy = 1/2 ×m× v ²
SI unit of mass = kilograms
SI unit of velocity = m/s
so dimensional formula of K.E= [ L²M¹T^-2]
Hope it helps you.
Answer:
If density ρ, frequency f and velocity v are taken as fundamental quantities then the dimensional formula for kinetic energy
If density ρ, frequency f and velocity v are taken as fundamental quantities then the dimensional formula for kinetic energyThe dimension formula of density frequency and velocity is
(plz find the values of abc with your own, it a long process to type here)
so
Equating the value of a,b and c
Equating the value of a,b and ca = 1...(I)
Equating the value of a,b and ca = 1...(I)-3 a+c=2.........(II)
.(II)-b-c=-2.........(III)
.(III)Put the value of a in equation (II)
.(III)Put the value of a in equation (II)-3+c=2
.(III)Put the value of a in equation (II)-3+c=2c = 5
.(III)Put the value of a in equation (II)-3+c=2c = 5Now put the value of c in equation ......(III)
(III)-b-5=-2
(III)-b-5=-2b = -3
Hence, The dimensional formula for kinetic energy should be k.E