The dimensional formula for acceleration, velocity and length are alphabeta^(-2), (alphabeta)^(-1) as and alphagamma. What is the dimensional formula for the coefficient of friction?

The dimensional formula for acceleration, velocity and length are alph

1.	The dimensional formula for acceleration, velocity and length are alphabeta^(-2), (alphabeta)^(-1) as and alphagamma. What is the dimensional formula for the coefficient of friction?
Answer» `alphabetagamma` `ALPHA^(-1)BETA^(0)GAMMA^(0)` `alpha^(0)beta^(-1)gamma^(0)` `alpha^(0)beta^(0)gamma^(-1)` SOLUTION :Here, `a= LT^(-2)= alphabeta^(-2), v= LT^(-1)= alphabeta^(-1)` `:. alpha= L, beta= T, L= alphagamma :. Gamma =(L)/(alpha)= (L)/(L)= 1` Coefficient of friction `mu= (F)/(R)= [M^(0)L^(0)T^(0)]` Check all the four given expressions and find which one is DIMENSIONLESS. `alpha^(0)beta^(0)gamma^(-1)= [L^(0)T^(0)(1)^(-1)]=1` Which is dimensionless.