Distance of neptune and saturn from sun are nearly {10^{13}} and {10^{12}} meters respectively. Assu

English

Gujarati

Hindi

7.Gravitation

medium

The distance of neptune and saturn from sun are nearly ${10^{13}}$ and ${10^{12}}$ meters respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio

A

$\sqrt {10} $

B

$100$

C

$10\sqrt {10} $

D

$1/\sqrt {10} $

(AIPMT-1994)

Solution

(c) $\frac{{{T_1}}}{{{T_2}}} = {\left( {\frac{{{R_1}}}{{{R_2}}}} \right)^{3/2}} $

$= {\left( {\frac{{{{10}^{13}}}}{{{{10}^{12}}}}} \right)^{3/2}}$

$= {(1000)^{1/2}}$

$ = 10\sqrt {10} $

Standard 11

Physics

Share

Similar Questions

A satellite is orbiting the earth in a circular orbit of radius $r.$ Its

medium

Three equal mass satellites $A, B,$ and $C$ are in coplanar orbits around a planet as shown in the figure. The magnitudes of the angular momenta of the satellites as measured about the planet are $L_A, L_B$, and $L_C$. Which of the following statements is correct?

medium

A geostationary satellite is orbiting the earth at a height $5R$ above the surface of the earth , $R$ being the radius of the earth. The time period of another satellite in hours at a height of $2R$ from the surface of the earth is

medium

(AIPMT-2012)

The period of revolution of planet $A$ around the sun is $8$ times that of $B$. The distance of $A$ from the sun is how many times greater than that of $B$ from the sun

easy

(AIPMT-1997)

A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is $2$ times that of the earlier orbit. The time period in the second orbit is

easy