If area (A), density (D) and force (F) are taken as fundamental quantities, find the dimensional formula for young's modulus.

If area (A), density (D) and force (F) are taken as fundamental quanti

1.	If area (A), density (D) and force (F) are taken as fundamental quantities, find the dimensional formula for young's modulus.
Answer» SOLUTION :Young.s modulus `Y=A^(x)D^(y)F^(z)` Taking dimensions `ML^(-1)T^(-2)=L^(2x)(ML^(-3))^(y)(MLT^(-2))^(z)=L^(2x-3y+z)M^(y+z)T^(-2z)` Using the principle of homogeneity of dimensions `-2z=-2,z=1,y+z-1,y=1-z=1-1=0` `2x-3y+z=-1,2x=-1-z=-2,x=-1` `Y=A^(-1)D^(0)F`.