UPSEE Solved Model Paper 7

Young's modulus is given by
where,
F: applied force
A: cross sectional area
L: original length
AL: increase in length
The units of L and AL are same. Therefore,
L/AL = unitless quantity
Given: Force (F), area (A) and density (D) are taken as the fundamental units, thus
unit of Y = FA−1D0
Hence, option 'C' is correct.