Test on Gravitation -2

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Question 1

A satellite is revolving in fixed circular orbit around earth and making four revolutions in a day. If earth start contracting and its radius becomes half of the present radius then the satellite will make how many revolutions in a day?

• A4 revolutions
• B1 revolution
• C16 revolutions
• D2 revolutions

Question 2

Two satellite (I) and (II) are moving round a planet in circular orbit having radii R and 3R respectively, if the speed of satellite (I) is v the speed of satellite B will be

• Av /3
• Bv
• C3v
• Ddata insufficient

Question 3

An artificial satellite is first taken to a height equal to half the radius of Earth. Let E₁ be the energy required. It is then given the appropriate orbital speed such that it goes in a circular orbit at that height. Let E₂ be the energy required. The ratio is

• A4 : 1
• B3 : 1
• C1 : 1
• D1 : 2

Question 4

Which of the following statements is wrong ?

• AA ship moving from west to east, along the equator, shall have less weight as compared to when it is at rest at the equator.
• BA ship moving from east to west, along the equator, shall have more weight as compared to when it is at rest.
• CEarth has retained its atmosphere because the value of for air molecules is larger than escape velocity.
• DThe time period of a simple pendulum of infinite length is the same as the time period of SHM of a ball in a tunnel along the diameter of earth.

Question 5

A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11 km s^-1, the escape velocity from the surface of the planet would be

• A11 km s^-1
• B110 km s^-1
• C0.11 km s^-1
• D1.1 km s^-1

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