Question

Ratio of amplitude of two waves is 5:7.What is the ratio of their intensity

Answer 1

Answer

25 : 49

Explanation

We know that the intensity(I) of a wave is directly proportional to the square of its amplitude (a²)

intensity of first wave = I1

intensity of second wave = I2

amplitude of first wave = a1

amplitude of second wave = a2

Ratio of amplitude of two waves is 5 : 7

(I1) / (I2) = (a1)² / (a2)²

√(I1) / √(I2) = (a1) / (a2)

(a1) / (a2) = √(I1) / √(I2)

 5 / 7 =√(I1) / √(I2)

5²/ 7² = √(I1) ²/ √(I2)²

25 / /49 = (I1) / (I2)

So is the ratio of their intensity = 25 : 49

Answer 2

Answer is in the attachment Buddy.......

The reason is we know the intensity of a wave is directly proportional to the Square of its amplitude. Since the photo is not full so i mentioned the reason.

Hope it may helped you out