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Statement 1 : A bullet is fired and it h...

Statement 1 : A bullet is fired and it hits a target. An observer in the same plane heard two sounds: the crack of the rifle and the thud of the bullet striking the target at the same instant. Then the locus of the observer is a hyperbola where the velocity of sound is smaller than the velocity of the bullet. Statement 2 : If the difference of distances of a point `P` from two fixed points is constant and less than the distance between the fixed points, then the locus of `P` is a hyperbola.

Answer

Step by step text solution for Statement 1 : A bullet is fired and it hits a target. An observer in the same plane heard two sounds: the crack of the rifle and the thud of the bullet striking the target at the same instant. Then the locus of the observer is a hyperbola where the velocity of sound is smaller than the velocity of the bullet. Statement 2 : If the difference of distances of a point P from two fixed points is constant and less than the distance between the fixed points, then the locus of P is a hyperbola. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • Velocity of recoil of gun is much smaller than the velocity of bullet. This is beaacuse

    A
    gun is much heavier than the bullet
    B
    gun is held tightly
    C
    either (a) and (b)
    D
    neither (a) or (b).

  • A bullet leaves the rifle of mass one kg and rifle recoils thereby with velocity 30 cm/s. If the mass of the bullet is 3 g, the velocity of the bullet is

    A
    `10^(4)" cm"//"s"`
    B
    `3xx10^(2)" cm"//"s"`
    C
    `10^(2)" cm"//"s"`
    D
    `10" cm"//"s"`

  • A bulley with muzzle velocity 100 m s^-1 is to be shot at a target 30 m away in the same horizontal line. How high above the target must the rifle be aimed so that the bullet will hit the target ? .

    A
    0
    B
    0.45cm
    C
    45cm
    D
    90cm

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