Advertisements
Advertisements
प्रश्न
If the height of a satellite completing one revolution around the earth in T seconds is h1 meter, then what would be the height of a satellite taking \[2\sqrt{2} T\] seconds for one revolution?
उत्तर
Let us assume the height of the satellite completing one revolution in 2`sqrt2` T seconds as h2.
T = `(2pi"r")/"v"_"c"`,i.e., T = `(2pi("R"+"h"_1))/(sqrt("GM"/(("R"+ "h"_1)))`
∴ T = `2pisqrt(("R"+"h"_1)^3/"GM")` ...(1)
and 2`sqrt2` T = `2pisqrt(("R"+"h"_1)^3/"GM")`
from Eqs. (1) and (2),
∴ `"T"/(2sqrt2 "T")=(2pisqrt(("R"+"h"_1)^3/"GM"))/(sqrt((("R"+ "h"_2)^3)/"GM")`
∴ `1/sqrt8=sqrt(("R"+"h"_1)^3)/(sqrt(("R"+ "h"_2)^3)`
∴ `1/2=(("R"+"h"_1))/(("R"+"h"_2)`
∴ R + h2 = 2R + 2h1
∴ h2 = R + 2h1
APPEARS IN
संबंधित प्रश्न
Fill in the blank and explain the statement with reasoning:
If the height of the orbit of a satellite from the earth surface is increased, the tangential velocity of the satellite will ......
Solve the problem.
How much time a satellite in an orbit at height 35780 km above earth's surface would take, if the mass of the earth would have been four times its original mass?
Write the proper name of the orbits of satellites shown in the following figure with their height from the earth’s surface.
A group of students from COEP Pune sent a small satellite _______ through ISRO in 2016.
The function of a satellite launcher is based on Newton's second law of motion.
What is Medium Earth Orbit?
Note the relationship between the entries in all the three columns in the table and rewrite the table.
| Column-1 (Location) |
Column-2 Height from the earth’s surface (km) |
Column-3 g (m/s2) |
| Earth’s surface (average) | 8.8 | 0.225 |
| Mount Everest | 36.6 | 9.81 |
| Maximum height ever reached by manmade balloon | 400 | 9.8 |
| Orbit of a typical weather satellite | 35700 | 9.77 |
| Orbit of communication satellite | 0 | 8.7 |
Write a note on orbital velocity
How is a satellite maintained in nearly circular orbit?
Numerical problem.
At an orbital height of 400 km, find the orbital period of the satellite.
What is microgravity?
The orbital velocity of the satellite depends on its ______.
Geostationary satellites are not useful for studies of the polar region.
Write the name of small satellite made by a group of students from COEP (College of Engineering, Pune) sent to the space through ISRO in 2016.
Complete the Following table.
| Sr. no. | Type of Satellite | The names of Indian Satellite and launcher |
| (1) | Navigational Satellite | Satellite: ______ |
| Launcher: ______ | ||
| (2) | Earth Observation Satellite | Satellite: ______ |
| Launcher: ______ |
Complete the following equations:
The orbit of a satellite is exactly 35780 km above the earth's surface and its tangential velocity is 3.08 km/s.
How much time the satellite will take to complete one revolution around the earth?
(Radius of earth = 6400 km.)
