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Question

‘Black hole’ is a

The correct answer is

star which has collapsed into itself and has large acceleration due to gravity on its surface

Understanding What a ‘Black Hole’ Is

A ‘black hole’ is one of the most fascinating objects in space. It is not an empty space, but rather a region where gravity is so strong that nothing, including light and other electromagnetic waves, has enough energy to escape its pull.

Characteristics of a Black Hole

Black holes typically form from the collapse of a massive star at the end of its life cycle. When a very massive star runs out of nuclear fuel, its core collapses under its own gravity. This collapse can lead to a supernova explosion, leaving behind a dense remnant.

If the remnant's mass is above a certain limit (the Tolman-Oppenheimer-Volkoff limit for neutron stars, and potentially higher for black holes), the collapse continues infinitely, crushing all the matter into an infinitely dense point called a singularity. This creates the black hole.

Key characteristics include:

  • Origin: Formed from the gravitational collapse of a massive star.
  • Gravity: Extremely strong gravitational pull due to the immense mass concentrated in a tiny volume.
  • Escape Velocity: The velocity required to escape its gravitational pull exceeds the speed of light.
  • Surface Gravity: The acceleration due to gravity near the event horizon (the boundary beyond which escape is impossible) is incredibly large.

Evaluating the Options

Let's look at the given options based on our understanding:

  1. A huge black star which has zero acceleration due to gravity on its surface.

    This is incorrect. While black holes are related to stars, they are not typical "stars". More importantly, they have extremely large acceleration due to gravity, not zero.

  2. A star which has moderate acceleration due to gravity on its surface.

    This is incorrect. Black holes have immensely strong gravity, far exceeding a "moderate" level.

  3. A star which has collapsed into itself and has large acceleration due to gravity on its surface.

    This aligns with the formation process (collapsed star) and the key characteristic of intense gravity (large acceleration due to gravity).

  4. A star which has collapsed into itself and has zero acceleration due to gravity on its surface.

    This is incorrect. A collapsed star that forms a black hole has very large, not zero, acceleration due to gravity.

Based on the characteristics of black holes formed from collapsed stars, the description that fits best is a collapsed star with a large acceleration due to gravity on its surface (near the event horizon). The term "surface" in this context usually refers to the event horizon, the effective boundary.

Therefore, a ‘black hole’ is understood as a region formed from the collapse of a star, characterized by an extremely strong gravitational field leading to very large acceleration due to gravity.

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Important Questions from Gravitation

  1. Which one of the following statement is true for the relation, \(F= \frac{{G{m_1}{m_2}}}{{{r^2}}}\) ?

    (All symbols have their usual meanings)
  2. The free-fall acceleration g increases as one proceeds, at sea level, from the equator toward either pole. The reason is

  3. A planet has a mass M 1and radius R 1. The value of acceleration due to gravity on its surface is g 1. There is another planet 2, whose mass and radius both are two times that of the first planet. Which one of the following is the acceleration due to gravity on the surface of planet 2?

  4. Two bodies of mass M each are placed R distance apart. In another system, two bodies of mass 2M each are placed R/2 distance apart. If F be the gravitational force between the bodies in the first system, then the gravitational force between the bodies in the second system will be

  5. Suppose the force of gravitation between two bodies of equal masses is F. If each mass is doubled keeping the distance of separation between them unchanged, the force would become

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