Question

Match the following two columns. (dimension wise)

Answer 1

(A) Stress$=F/A=$Pressure.
We know that $W=PV$
$P=W/V$
Now W/V is work p.u. volume which has same dimension as Energy p.u.Volume therefore, Pressure and energy density has same dimension therefore, stress and energy density ha ssame dimension.
A->3
(B)Strain is dimensionless and so as coefficient of friction
B->1
(C)Modulus of elasticity has same dimension as of stress therefore same dimension as of energy density.
C->3
(D)force constant of a wire has $\left[M{T}^{-2}\right]$
therefore,
D->4