Gravitation Test

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Gravitation Test - 1

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Weekly Quiz Competition

Question 1
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Which of the following is not a statement of Kepler`s Law?

A
Line joining planet and sun sweeps equal areas in equal time.

B
Planets move around the sun in a circular orbit.

C
Square of time period is proportional to cube of radius.

D
Planets move around the sun in an elliptical orbit with sun at one of the foci.

Solution

According to the Kepler's law, each planet revolves around the sun in an elliptical orbit and not in a circular orbit.
Question 2
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Compare the area swept by the line joining planet and sun at apogee (closest point in orbit) and perigee (farthest point in orbit) during a time interval `T`.

A
Area swept at apogee is more.

B
Area swept at perigee is more.

C
Both areas are equal.

D
Insufficient information

Solution

According to the Kepler's second law, each planet sweeps an equal area in equal time intervals.
Question 3
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A planet goes around the sun twice as many times as earth in a given time interval.

A
It has a higher radius of orbit.

B
It has a lower radius of orbit.

C
It covers equal area to earth in equal time.

D
It has slower velocity than earth.

Solution

A planet goes around the sun twice as many times as the earth in a given time interval as it has a lower radius of orbit.
Question 4
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The path of an object released from earth at a velocity less than escape velocity and more than orbital velocity is called

A
circular

B
incomplete elliptical

C
parabolic

D
hyperbolic

Solution

The path of an object released from the earth, at a velocity less than the escape velocity and more than the orbital velocity, is called an incomplete elliptical.
Question 5
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The acceleration due to earth`s gravity ______ when we go a little distance inside the earth. It ______ when we go a little distance above the earth.

A
increases, decreases

B
decreases, increases

C
increases, increases

D
decreases, decreases

Solution

The acceleration due to the earth`s gravity decreases when we go a little distance inside the earth. Also, it decreases when we go a little distance above the earth.