Physics · 2015
JEE Main · 10 April 2015, Shift 1 · Q7
A very long (length L) cylindrical galaxy is made of uniformly distributed mass and has radius R ( R ≪ L ). A star outside the galaxy is orbiting the…
A very long (length L) cylindrical galaxy is made of uniformly distributed mass and has radius $\displaystyle \mathrm{R}(\mathrm{R} \ll \mathrm{L})$. A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of star is T and its distance from the galaxy's axis is r, then :
Official answer
(3)
$\displaystyle \mathrm{T} \propto \mathrm{r}$
More from Gravitation
- The time period of a satellite of earth is 10 hours. If the separation between the earth and the satellite is increased to 16 times the previous…2021
- The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth's surface is (given, radius of…2023
- A body of mass is taken from earth surface to the height h equal to twice the radius of earth (R_e), the increase in potential energy will be: ( g=…2023
- A satellite is moving with a constant speed v in circular orbit around the earth. An object of mass 'm' is ejected from the satellite such that it…2019
- The radii of two planets 'A' and 'B' are 'R' and '4R' and their densities are ρ and ρ / 3 respectively. The ratio of acceleration due to gravity at…2023
- The value of acceleration due to gravity at Earth's surface is 9.8 ms^-2. The altitude above its surface at which the acceleration due to gravity…2019
- Given below are two statements: Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface. Statement…2023
- Given below are two statements: Statement I: A satellite is moving around earth in the orbit very close to the earth surface. The time period of…2026
JEE Main 2015 Physics question, with the answer from NTA’s final answer key. Where our answers come from.