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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. Suppose there are two planets, 1 and 2, having the same density but their radii are R 1and R 2respectively, where R 1> R 2. The accelerations due to gravity on the surface of these planets are related as

  3. LIGO stands for

  4. If radius of the earth were to shrink by 1%, its mass remains the same, g would decrease by nearly

  5. The radius of the Moon is about one-fourth that of the Earth and acceleration due to gravity on the moon is about one-sixth that on the earth. From this, we can conclude that the ratio of the mass of earth to the mass of the moon is about

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