Advertisements
Advertisements
प्रश्न
If the ratio of the orbital distance of two planets `"d"_1/"d"_2` = 2, what is the ratio of gravitational field experienced by these two planets?
Advertisements
उत्तर
The gravitational field experienced by planets 1
E1 = `"GM"/"d"_1^2`
The gravitational field experienced by planet 2
E2 = `"GM"/"d"_2^2`
The ratio of their orbital distance `"d"_1/"d"_2` = 2
∴ d1 = 2d2
The ratio of the gravitational field of two planets.
`"E"_1/"E"_2 = ("GM")/(2"d"_2)^2 xx "d"_2^2/"GM" = "GM"/(4"d"_2^2) xx "d"_2^2/"GM"`
`"E"_1/"E"_2 = 1/4`
∴ E2 = 4E1
APPEARS IN
संबंधित प्रश्न
If the masses of the Earth and Sun suddenly double, the gravitational force between them will ___________.
A planet moving along an elliptical orbit is closest to the Sun at distance r1 and farthest away at a distance of r2. If v1 and v2 are linear speeds at these points respectively. Then the ratio `"v"_1/"v"_2` is
If the distance between the Earth and Sun were to be doubled from its present value, the number of days in a year would be ___________.
An object of mass 10 kg is hanging on a spring scale which is attached to the roof of a lift. If the lift is in free fall, the reading in the spring scale is ___________.
Will the angular momentum of a planet be conserved? Justify your answer.
What is meant by the superposition of the gravitational field?
Is potential energy the property of a single object? Justify.
If the Earth’s pull on the Moon suddenly disappears, what will happen to the Moon?
Two bodies of masses m and 4m are placed at a distance of r. Calculate the gravitational potential at a point on the line joining them where the gravitational field is zero.
What is the gravitational potential energy of the Earth and Sun? The Earth to Sun distance is around 150 million km. The mass of the Earth is 5.9 × 1024 kg and the mass of the Sun is 1.9 × 1030 kg.
