Question

A gas bubble from an explosion under water oscillates with a period T proportional to PáµÏáµEË£ where P is the static pressure, Ï is the density of water and E is the total energy of the explosion. Find the values of a, b and x.

Answer 1

Answer:

a=-5/6

b=1/2

x=1/3

Explanation:

Given  :

[T]=$P^{a} d^{b} E^{x}$

=$[ML^{-1} T^{-2} ] ^{a}$ $[ML^{-3}] ^{b}$$[ML^{2}T^{-2} } ]^{x}$

a+b+x=0

-a-3b+2x=0

-2a-2x=1

On solving equations we get

a=-5/6

b=1/2

x=1/3