Question

Music is been played in two opposite galleries with certain group of people. In the first gallery a group of 4 singers were singing and in the second gallery 9 singers were singing. The two galleries are separated by the distance of 70 m. Where should a person stand for hearing the same intensity of the singers voice? (Hint: The ratio of the sound intensity is equal to the square of the ratio of their corresponding distances).

Answer 1

Answer:

28 m from Gallery of 4 singers

42 m from gallery of 9  singers

Step-by-step explanation:

The ratio of the sound intensity is equal to the square of the ratio of their corresponding distances

let say d is the distance from galley of 4 singers

then distance from gallery of 9 singers = 70 -d

4x/d² = 9x/(70-d)²

=> 4(70-d)² =  9d²

Square rooting both sides

2(70 -d) = 3d

=> 140 - 2d = 3d

=> 140 = 5d

=> d = 28

28 m from Gallery of 4 singers

42 m from gallery of 9  singers

Answer 2

Answer:

Step-by-step explanation: