# Gravitation-Geo-Stationary Satellites (NEET (NTA)-National Eligibility cum Entrance Test (Medical) Physics): Questions 1 - 4 of 4

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## Passage

It can be assumed that orbits of earth and mars are nearly circular around the sun. It is proposed to launch an artificial planet around the sun such that its apogee is at the orbit of mars while its perigee is at the orbit of earth. Let T e and T m be periods of revolution of earth and mars. Further the variables are assigned the meanings as follows.

M e → Mass of earth

M m → Mass of mars

L e → Angular momentum of earth around the sun

L m → Angular momentum of mars around the sun

R e → Semi major axis of earth’s orbit.

R m → Semi major axis of mars orbit.

M → Mass of the artificial planet

E e → Total energy of earth

E m → Total energy of mars.

## Question number: 1 (1 of 2 Based on Passage) Show Passage

» Gravitation » Geo-Stationary Satellites

MCQ▾

### Question

Areal velocity of the artificial planet around the sun will be,

### Choices

Choice (4) Response

a.

more than that of earth

b.

less than that of earth

c.

more than that of mars

d.

same as that of the earth

## Question number: 2 (2 of 2 Based on Passage) Show Passage

» Gravitation » Geo-Stationary Satellites

MCQ▾

### Question

Time period of revolution of the artificial planet about sun will be (neglect gravitational effects of earth and mars)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 3

» Gravitation » Geo-Stationary Satellites

MCQ▾

### Question

The moon revolves round the earth 13 times in one year. If the ratio of sun-earth distance to earth-moon distance is 393, then the ratio of masses of sun and earth will be –

### Choices

Choice (4) Response

a.

356

b.

365

c.

1

d.

3.56 ⨯ 10 5

## Question number: 4

» Gravitation » Geo-Stationary Satellites

MCQ▾

### Question

If the moon revolves round the earth 10 times in one year. If the ratio of sun-earth distance to earth-moon distance is 393, then the ratio of masses of sun and earth will be –

### Choices

Choice (4) Response

a.

6.07 ⨯ 10 5

b.

4.56 ⨯ 10 5

c.

1

d.

5.93 ⨯ 10 5

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