Question

O.L Check the correction of following expressions:
S=mgl³/4bd³y


here, s-depression in bar, g- acceleration
m - mass of bar - length
iy-youn
Young modules​

Answer 1

Here's the solution.

For dimensional formulas, if you know the unit of the physical quantity, then you can write the dimensional formula very easily.

For e.g. for g, we know that it's unit is m/s^2 , so it's formula is [LT^(-2)]

I hope you know about Young's Modulus. It is the ratio of Strain to Stress.

Y has the same dimensions as that of pressure.