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Pole star always appears stationary to a person standing on Earth because
$A.$ Pole star always lies above the person in perpendicular position
$B.$ Axis of earth’s rotation always passes through pole star
$C.$ Pole star remains fixed
$D.$ Relative velocity of earth and pole star is zero

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Answer
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- Hint: The situation of a Pole star (or Polaris or Polaris) appears fixed as seen from the earth’s surface. It lies approximately overhead when seen from the poles of the world. It is often tracked with the constellation “Ursa Major”. The essential concept utilized in this question is that the rotation of earth, that is, from west to east.

Complete step-by-step answer:
Now using this within the given question, we get
The sky above Earth appears to rotate due to the rotation of the world . The apparent fixed stars go east to west because the Earth rotates west to east. But since the axis of rotation of Earth passes through the pole star, it's that time about which the sky rotates and hence the pole star appears fixed.
Therefore, option B. is the correct option of the above question.

 Note: Constellations
The word “constellation” comes from the Late Latin tem constellation, which may be translated as “set of stars”. Constellation may be a group of stars that appear within the group and sort of recognizable shape. The position of a constellation within the sky is understood. Some samples of constellations are Great Bear, Orion and Cassiopeia. they're helpful in determining some important stars. It's a neighborhood on the sphere during which a gaggle of visible stars forms a perceived outline or pattern, typically representing an animal, mythological person or creature, or an inanimate object. The origins of the earliest constellations likely return to prehistory. People used them to relate stories of their beliefs, experiences, creation, or mythology.