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According to Kepler's second law, the ra...

According to Kepler's second law, the radius vector to a planet from the Sun sweeps out equal areas in equal intervals of time. This law is a consequence of the conservation of ______________.

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`(dA)/(dt)=L/(2M) =` constant, because angular momentum of planet (`L`) about the centre of the sun is constant. Thus, this law comes from law of conservation of angular momentum.
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Knowledge Check

  • According to Kepler's second law of planetary motion,

    A
    the line joining the centers of a planet's orbit and the planet covers equal areas in equal intervals of time.
    B
    the line joining the centers of sun and the planet covers equal area in equal intervals of time.
    C
    a planet covers equal distances along its orbit in equal intervals of time.
    D
    area swept by the average radius of orbit of each planet in the solar system is equal.
  • According to Kepler's second law, line joining the planet to the sun sweeps out equal areas in equal time intervals. This suggests that for the planet

    A
    radial acceleration is zero
    B
    tangential acceleration is zero
    C
    transverse acceleration is zero
    D
    All
  • According the Kepler's law, the areal velocity of a planet around the sun, always

    A
    increases
    B
    decreases
    C
    remains constant
    D
    first increases and then decreases