A gas bubble, from an exlosion under water, oscillates with a period `T` proportional to p^(a)d^(b)E^( c )`. Where `'P'` is the static pressure, `'d'` is the density of water `'E'` is the total energy of the explosion. Find the values of `a, b and, c`.

Options

A. `(1)/(2)`
B. `(1)/(3)`
C. `-(1)/(4)`
D. `-(5)/(6)`

Answer

d

Explanation

`T = P^(2) d^(2) E6(0)`
`[T] = [ML^(-1)T^(2)]^(0) [Ml^(-3)]^(0) [ML^(2)T^(-2)]^(0)`
Equating the exponents ,`a + b + c = 0`
`- a -3b + 2c = 0` and `-2a -2c = 1`
By solving `a= (5)/(4)`.