Physics Crash Course NEET>Chapter 6 - Gravitation>Level 1>Q 23

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Planet $A$ has mass $M$ and radius $R .$ Planet $B$ has half the mass and half the radius of Planet $A .$ If the escape velocities from the Planets $A$ and $B$ are $v_{A}$ and $v_{B},$ respectively, then $\frac{v_{A}}{v_{B}} = \frac{n}{4} .$ The value of $n$ is:

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Important Questions on Gravitation

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 1>Q 24

Two planets have masses

M

and

16 M

and their radii are a and

2 a

, respectively. The separation between the centres of the planets is

10 a

. A body of mass

m

is fired from the surface of the larger planet towards the smaller planet along the line joining their centres. For the body to be able to reach at the surface of smaller planet, the minimum firing speed needed is :

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 1>Q 25

Escape velocity when a body of mass

m

is thrown vertically from the surface of the earth is

v,

what will be the escape velocity of another body of mass

4 m

is thrown vertically

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 1>Q 26

If the moon is to escape from the gravitational field of the earth forever, it will require a velocity ___ .

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 1>Q 27

A space station is at a height equal to the radius of the Earth. If '

V_{E}

' is the escape velocity on the surface of the Earth, the same on the space station is _____

V_{E}

.

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 1>Q 28

It is given,

R

is the radius of the earth and

ω

is its angular velocity and

g_{p}

is the value of

g

at the poles. The effective value of g at the latitude

ϕ = 60 °

will be equal to

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 1>Q 29

At what height above the earth's surface does the acceleration due to gravity fall to

1 %

of its value at the earth's surface?

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 1>Q 30

A planet has a mass

M_{1}

and 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

?

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 1>Q 31

Imagine a new planet having the same density as that of the earth but it is

3

times bigger than the earth in size. If the acceleration due to gravity on the surface of the earth is

g

and on the surface of the new planet is

g^{'}

, then