Escape velocity Test-7 (Gravitation) Gravitation Physics NEET Practice Questions, MCQs, Past Year Questions (PYQs), NCERT Questions, Question Bank, Class 11 and Class 12 Questions, and PDF solved with answers

A satellite is in a circular orbit around a planet, orbiting with a speed of

2

$2$ km/s. What is the minimum additional velocity that should be given to it, perpendicular to its motion, so that it escapes?

1.	$2$ km/s	2.	$2\sqrt2$ km/s
3.	$2(\sqrt2-1)$ km/s	4.	$2(\sqrt2+1)$ km/s

Subtopic: Escape velocity |

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Q2:

The acceleration due to gravity, $g$ , near a spherically symmetric planet's surface decreases with height, $h$ according to the relation:
$g(h)= g_s-k\cdot h$ , where $h\ll$ the radius of the planet.
The escape speed from the planet's surface is:

1.	$\dfrac{g_s}{2\sqrt k}$	2.	$\dfrac{g_s}{\sqrt k}$
3.	$\dfrac{2g_s}{\sqrt k}$	4.	$g_s\sqrt{\dfrac{2}{k}}$

Subtopic: Escape velocity |

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Q3:

If the escape velocity from a planet's surface is

v_{esc}

$v_{\text{esc}}$ and its radius

R,

$R,$ then the gravitational acceleration on its surface equals:

1.	$\dfrac{v^2_{\text{esc}}}{R}$	2.	$\dfrac{v^2_{\text{esc}}}{2R}$
3.	$\dfrac{v^2_{\text{esc}}}{2\pi R}$	4.	$\dfrac{2\pi v^2_{\text{esc}}}{R}$

Subtopic: Escape velocity |

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Q4:

The escape velocity of a particle, projected tangentially from the surface of a planet of radius

R,

$R,$ is: (

g

$g$ is the gravitational acceleration on the planet's surface)

1.	$\sqrt{5gR}$	2.	$\sqrt{3gR}$
3.	$\sqrt{2gR}$	4.	infinite

Subtopic: Escape velocity |

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Q5:

A planet of uniform density has a narrow frictionless tunnel

(A B)

$(AB)$ along its diameter (

2 R

$2R$ ). The acceleration due to 'gravity' on the surface of the planet is

g .

$g.$

A particle is given a velocity

v_{e}

$v_e$ and launched radially outward from the mouth of the tunnel. What is the minimum value of

v_{e}

$v_e$ for which the particle escapes the gravitational field?

1.	$\sqrt{gR}$	2.	$\sqrt{2gR}$
3.	$\sqrt{\dfrac{gR}{2}}$	4.	$2\sqrt{gR}$

Subtopic: Escape velocity |

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Q6:

A planet of uniform density has a narrow frictionless tunnel

(A B)

$(AB)$ along its diameter (

2 R

$2R$ ). The acceleration due to 'gravity' on the surface of the planet is

g .

$g.$

A particle is projected from the centre of the tunnel (centre

O

$O$ of the planet) with a speed

u,

$u,$ so that it travels along the tunnel and exits; thereafter it escapes the gravity of the planet. The speed of the particle is:

1.	$\sqrt{gR}$	2.	$\sqrt{2gR}$
3.	$\sqrt{3gR}$	4.	$\sqrt{5gR}$

Subtopic: Escape velocity |

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