Question

If energy (e) , velocity (v ) and time (t) are chosen as the fundamental quantities, the dimensional formula of surface tension will be :

Answer 1

the dimensional formula for surface tension is [e v ^-2 t^-2]


hope it helps you...

Answer 2

Answer:

S = [ E¹  V⁻²  T⁻² ]

Explanation:

E = [ M¹  L²  T⁻² ]

V = [ M⁰  L¹  T⁻¹ ]

T = [ M⁰  L⁰  T¹ ]

S = [ M¹  L⁰  T⁻² ]

S = [ Eᵃ  Vᵇ  Tˣ ]

Put values of E, V, T

S = [ M¹  L²  T⁻² ]ᵃ  [ L¹  T⁻¹ ]ᵇ  [ T¹ ]ˣ

S = [ Mᵃ L²ᵃ⁺ᵇ  T⁻²ᵃ⁻ᵇ⁺ˣ ]

Compare

a = 1

2a + b = 0

-2a - b + x = -2

a = 1

b = -2

x = -2

S = [ E¹  V⁻²  T⁻² ]