$A$ person observes two moving trains. The first reaches the station and the second leaves the station,both with an equal speed of $30 \ m/s$. If both trains emit sounds of frequency $300 \ Hz$,what is the difference in frequencies heard by the person (in $Hz$)? (Speed of sound in air $= 330 \ m/s$)

  • A
    $80$
  • B
    $75$
  • C
    $55$
  • D
    $45$

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$A$ sounding body of negligible dimension emitting a frequency of $150\, Hz$ is dropped from a height. During its fall under gravity,it passes near a balloon moving up with a constant velocity of $2\, m/s$ one second after it started to fall. The difference in the frequency observed by the man in the balloon just before and just after crossing the body will be: (Given: velocity of sound $= 300\, m/s$; $g = 10\, m/s^2$) (in $, Hz$)

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