After your school's team wins the regional championship, students go to the dorm roof and start setting off fireworks rockets. The rockets explode high in the air and the sound travels out uniformly in all directions. If the sound intensity is 2.22 10-6 W/m2 at a distance of 243 m from the explosion, at what distance from the explosion is the sound intensity half this value

Question

Kae

Physics

8 July, 20:24

After your school's team wins the regional championship, students go to the dorm roof and start setting off fireworks rockets. The rockets explode high in the air and the sound travels out uniformly in all directions. If the sound intensity is 2.22 10-6 W/m2 at a distance of 243 m from the explosion, at what distance from the explosion is the sound intensity half this value

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Bentley Rowland · Answer 1

If I1 is the intensity at a distance 150 m from the source and I2 is the intensity at a distance of d m from the source,

I1 * 150^2 = I2 * d^2

d^2 = [ I1 / I2 ]*150^2

[I1 / I2] = 1.9 / 0.8 = 2.375

d^2 = 2.375*150^2

d = 231.17 m