If power (P), surface tension (S) and Planck's constant (h) are arranged so that the dimensions of time in their dimensional formulae are in ascending order, then which of the following is correct?

Options

A. P,S,h
B. P,h,S
C. S,P,h
D. S,h,P

Answer

A

Explanation

Power`=("work")/("Time")therefore[P]=([ML^(2)T^(-2)])/([T])=[ML^(2)T^(-3)]` ltBrgt Surface=`("Force")/("Length")therefore[S]=([MLT^(-2)])/([L])=[ML^(0)T^(-2)]`
Planck's constant
`=("Energy")/("Frequency")therefore[h]=([ML^(2)T^(-2)])/([T^(-1)])=[ML^(2)T^(-1)]`
The ascending order of dimensions of time iin their dimensional formulae is P,S,h.