Question

The period of a body under SHM i.e. presented by T = P D'S'; where p is pressure, D
is density and s is surface tension. The value of a,b and c are​

Answer 1

Answer:

Let T=PaDbSc

So, [T]=[M0L0T1]

             =[ML−1T−2]a[ML−3]b[MT−2]c

             =[Ma+b+cL−a−3bT−2a−2c]

Applying principle of homogeneity, 

a+b+c=0;−a−3b=0;−2a−2c=1

On solving, we get  a=−3/2.b=1/2,c=1