dimensional formula of Young's modulus=[M^2L^-1T^-2]

hope this helps u out....

hope this helps u out....

- -8

Dimensional formula of young's modulus is M^1L^-1T^-2. Young's modulus isn't dimensionless quantity. But it says strain is dimensionless quantity (which is true). As we know that, Young's modulus (Y) = Stress/Strain = Pressure. Young's modulus has the same dimensions as that of pressure,i.e., M^1L^-1T^-2 and its unit is also Pascal. Hope it is helpful...

- -1

Young's modulus = Stress/Strain?

? ? ? ? ? ? ? ? ? ? ? ? ? ? = F/A x e/l

? ? ? ? ? ? ? ? ? ? ? ? ? ? = ma/A x e/l

Where,

F = force

A = area of cross section

e = elongation

l = actual length

a = acceleration?

m = mass ? ? ? ? ? ? ? ? ? ? ? ? ?

?By their units,

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Y = [(kg x m/s?) / (m?)] x m/m

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Y = (Kg x m) / (m?s?)

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Y = Kg/ms?

In dimension formula ? ?Y = [?M L?? S??]

Hope it helps you!!!

? ? ? ? ? ? ? ? ? ? ? ? ? ? = F/A x e/l

? ? ? ? ? ? ? ? ? ? ? ? ? ? = ma/A x e/l

Where,

F = force

A = area of cross section

e = elongation

l = actual length

a = acceleration?

m = mass ? ? ? ? ? ? ? ? ? ? ? ? ?

?By their units,

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Y = [(kg x m/s?) / (m?)] x m/m

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Y = (Kg x m) / (m?s?)

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Y = Kg/ms?

In dimension formula ? ?Y = [?M L?? S??]

Hope it helps you!!!

- 0

Young Modulus= stress/strain

And we know that,

Stress= Force/Area

# Force=Mass ? acceleration

=M ? Velocity/time

= M ? distance/time^2

= MLT^-2

And,

strain is has a formula

Length/Length, so it's dimensionless quantity

So, stress has a dimension =

MLT^-2/L^2 which is equals to

ML^-1T^-2

Then,

Young modulus has a dimension equals to ML^-1T^-2.

??????

And we know that,

Stress= Force/Area

# Force=Mass ? acceleration

=M ? Velocity/time

= M ? distance/time^2

= MLT^-2

And,

strain is has a formula

Length/Length, so it's dimensionless quantity

So, stress has a dimension =

MLT^-2/L^2 which is equals to

ML^-1T^-2

Then,

Young modulus has a dimension equals to ML^-1T^-2.

??????

- 0