Question

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.

Answer 1

Explanation:

so given time period t

T inversly proportional to p^a d^b e^c

where k is constant

intersecting the dimension of time pressure density and energy so now

T=(ml^-2 t^-2)^2 (ml^-3)^b (ml^2t-2)

now equate power of mlt in the form of equation

0=a+b+c .1

0=-a-3b+2c.2

1=-2a-2c.3

so you get a=-5/6 ,b=1/2 and c=1/3

write all word in big

5 star please