Gravitation Test

Result

Gravitation Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

If the radius of Earth decreases by 1% and its mass remains the same, then the acceleration due to gravity

A
increases by 1%

B
decreases by 1%

C
increases by 2%

D
decreases by 2%
Question 2
1 / -0

The square of the angular velocity of a planet around the Sun is proportional to (where R is the radius of the orbit of the planet around the Sun)

A
R^-3

B
R^-2

C
R⁴

D
R^-4
Question 3
1 / -0

According to Kepler’s Law of periods, The _______________ of the time period of revolution of a planet is proportional to the cube of the ___________ of the ellipse traced out by the planet

A
square, semi-minor axis

B
cube, semi-major axis

C
square, semi-major axis

D
cube, semi-major axis

Solution

Kepler's 3^rd Law: T²= a³. Kepler's 3rd law is a mathematical formula. It means that if you know the period of a planet's orbit (T = how long it takes the planet to go around the Sun), then you can determine that planet's distance from the Sun (a is the length of the semimajor axis of the planet's orbit)
Question 4
1 / -0

The following question has four choices out of which ONLY ONE is correct.

The gravitational field in a region is given by I = (3i + 4j) N / Kg. Work done by this field is zero when a particle is moving along the line. Find the line.

A
3y + 4x + c = 0

B
4x - 3y + c = 0

C
3x + 4y + c = 0

D
None of these