Speed and Time Period of Satellite

Q.

The maximum and minimum distances of a comet from the Sun are $1.6\times {10}^{12}m$ and $8.0\times {10}^{10}m$respectively. If the speed of the comet at the nearest point is , $6\times {10}^{4}m{s}^{-1}$ the speed at the farthest point is :

1. $1.5\times {10}^{3}m/s$

2. $4.5\times {10}^{3}m/s$

3. $3.0\times {10}^{3}m/s$

4. $6.0\times {10}^{3}m/s$

Q. Speed of a satellite with height.

1. increases
2. decreases
3. does not vary

Q. Match the formulas for different quantities of satellites.
Assume terms have their standard meanings.

1. $\sqrt{\frac{GM}{R+h}}$
2. $2\pi \sqrt{\frac{{(R+h)}^3}{GM}}$
3. $\frac{GM}{{(R+h)}^2}$

Q. A satellite $X$ is launched into a circular orbit of radius $R$ around the earth while a second satellite $Y$ is launched into an orbit of radius $4R$. The ratio of the time periods of $Y$ to $X$ is what ?

Q. A satellite $X$ is launched into a circular orbit of radius $R$ around the earth while a second satellite $Y$ is launched into an orbit of radius $4R$. The ratio of the time periods of $Y$ to $X$ is what ?

Q.

Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to:

1. $R^{\left(\frac{n+1}{2}\right)}$

2. $R^{\left(\frac{n-1}{2}\right)}$

3. $R^n$

4. $R^{\left(\frac{n-2}{2}\right)}$

Q. Time period of RAISAT is approximately 93 minutes.

1. True
2. False

Q. Assertion :Two satellites A and B are in the same orbit around the earth, B being behind A. B cannot overtake A by increasing its speed. Reason: It will then into a different orbit.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
3. Assertion is correct but Reason is incorrect
4. Both Assertion and Reason are incorrect