Question

δ=mgl3/(4bd3Y) where δ is the depression produced at the center of a bar of length l, breadth b, depth d,Y the young’s modulus, m mass loaded, verify by dimensional analysis

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.

Answer 2

Explanation:

this is the solution...........................