Question

two waves represented by the following equations are travelling in the same direction in the same medium y1=10 sin2[75t-0.25x];y2=10 sin[150t-0.50] the intensity ratio 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

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