A person standing near a railway line hears two distinct sounds of a train between time interval 2s.how much is the distance of the train?Velocity of steel=16 times velocity of air{340 m/s}

A person standing near a railway line hears two distinct sounds of a t

1.	A person standing near a railway line hears two distinct sounds of a train between time interval 2s.how much is the distance of the train?Velocity of steel=16 times velocity of air{340 m/s}
Answer» If the person standing near a RAILWAY line hears two DISTINCT sounds of a train, then the sounds are - one travelling through steel and the another travelling through air. Let the distance of train be d from the person. speed of SOUND in air = 340 m/s speed of sound in steel = 340 × 16 = 5440 m/s time taken by sound travelling through steel to reach the person = $t_s$ time taken by sound travelling through air to reach the person = $t_a$ $time= \frac{distance}{speed}\\ \\ t_s= \frac{d}{5440} \\ \\t_a= \frac{d}{340}$ GIVEN that $t_a - t_s=2$ $\frac{d}{340}-\frac{d}{5440}=2\\ \\d( \frac{1}{340} - \frac{1}{5440} )=2\\ \\d(\frac{16-1}{5440})=2\\ \\d=\frac{25440}{15}=725.33\ m$ Distance of train is 725.33 m.*

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A person standing near a railway line hears two distinct sounds of a train between time interval 2s.how much is the distance of the train?Velocity of steel=16 times velocity of air{340 m/s}

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