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Q. A person observes two moving trains, '$A$' reaching the station and ' $B$ ' leaving the station with equal speed of $30 \,m / s$. If both trains emit sounds with frequency $300 \, Hz$, (Speed of sound: $330 \,m / s$ ) approximate difference of frequencies heard by the person will be:

JEE MainJEE Main 2023Waves

Solution:

$ f _1=300\left(\frac{330-0}{330-(-30)}\right)=275$
$ f _2=300\left(\frac{330-0}{330-(30)}\right)=330$
$ \Delta f =330-275=55\, Hz $