A gas bubble from an explosion under water oscillates with a period `T` proportional to `P^(a) d^(b) E^(c )`, where `P` is the pressure, `d` is density of water and `E` is the total energy of the explosion. Find the value of a,b and c`.

Options

A. `a= (3)/(2) , b = - (1)/(3),c= (1)/(2)`
B. `s =- (5)/(6), b = (1)/(3), c= (1)/(2)`
C. `a= - (5)/(6), b = (1)/(2), c = (1)/(3)`
D. `a= (3)/(2), b = - (1)/(3), c= (1)/(2)`

Answer

C