Question

Two waves are represented by y1=5sin2π(75t-0.25x) and y2=10sin2π(150t-0.50x) . The intensity ratio I1/I2 of the two waves is

Answer 1

Y1=10sin[275t-0.25x]
y2=10sin[150t-0.50]
compare with y=asin [ωt+Ф]
where y=displacement at any instant of time
a=amplitude
Ф=phase difference
As Intensity is given by I=ka²
k is a constant
both wave have 10 amplitude
I1:I2=1:1

Answer 2

Answer:1:4

Explanation:

Amplitudes,

a1=5,a2=10

Intensity ratio,

I1÷I2=(a1÷a2)^2

So,i1÷i2=(5÷10)^2=(1÷2)^2

=(1÷4)