At what height above earth's surface is value of 'g' is same as in a 200, km deep mine .

English

Gujarati

Hindi

7.Gravitation

normal

At what height above the earth's surface is the value of $'g'$ is same as in a $200\, km$ deep mine ........ $km$

$50$

$100$

$150$

$400$

Solution

$\mathrm{g}\left(1-\frac{2 \mathrm{h}}{\mathrm{R}}\right)=\mathrm{g}\left(1-\frac{\mathrm{h}^{\prime}}{\mathrm{R}}\right)$

Above surface $\quad$ Below surface

$\Rightarrow \frac{2 \mathrm{h}}{\mathrm{R}}=\frac{\mathrm{h}^{\prime}}{\mathrm{R}} \Rightarrow \mathrm{h}=\frac{\mathrm{h}^{\prime}}{2}=\frac{200}{2}=100 \mathrm{km}$

Standard 11

Physics

Two identical spheres are placed in contact with each other. The force of gravitation between the spheres will be proportional to ($R =$ radius of each sphere)

normal

The value of escape velocity on a certain planet is $2\, km/s$ . Then the value of orbital speed for a satellite orbiting close to its surface is

normal

Figure shows the orbit of a planet $P$ round the sun $S.$ $AB$ and $CD$ are the minor and major axes of the ellipse.

If $t_1$ is the time taken by the planet to travel along $ACB$ and $t_2$ the time along $BDA,$ then

normal

The rotation of the earth having $R$ radius about its axis speeds up to a value such that a man at latitude angle $60^o$ feels weightlessness. The duration of the day in such a case is.

normal

A satellite of mass $m$ is in a circular orbit of radius $2R_E$ about the earth. The energy required to transfer it to a circular orbit of radius $4R_E$ is (where $M_E$ and $R_E$ is the mass and radius of the earth respectively)

normal

At what height above the earth's surface is the value of $'g'$ is same as in a $200\, km$ deep mine ........ $km$

Solution

Similar Questions

Two identical spheres are placed in contact with each other. The force of gravitation between the spheres will be proportional to ($R =$ radius of each sphere)

The value of escape velocity on a certain planet is $2\, km/s$ . Then the value of orbital speed for a satellite orbiting close to its surface is

Figure shows the orbit of a planet $P$ round the sun $S.$ $AB$ and $CD$ are the minor and major axes of the ellipse. If $t_1$ is the time taken by the planet to travel along $ACB$ and $t_2$ the time along $BDA,$ then

The rotation of the earth having $R$ radius about its axis speeds up to a value such that a man at latitude angle $60^o$ feels weightlessness. The duration of the day in such a case is.

A satellite of mass $m$ is in a circular orbit of radius $2R_E$ about the earth. The energy required to transfer it to a circular orbit of radius $4R_E$ is (where $M_E$ and $R_E$ is the mass and radius of the earth respectively)

Start a Free Trial Now

Figure shows the orbit of a planet $P$ round the sun $S.$ $AB$ and $CD$ are the minor and major axes of the ellipse.

If $t_1$ is the time taken by the planet to travel along $ACB$ and $t_2$ the time along $BDA,$ then