# Gravitation (NEET (NTA)-National Eligibility cum Entrance Test (Medical) Physics): Questions 11 - 15 of 84

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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: 11 (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: 12 (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: 13

» Gravitation » Escape Velocity

MCQ▾

### Question

A spaceship is launched into a circular orbit close to earth’s surface. What additional velocity has now to be imparted to the spaceship in the orbit to overcome the gravitational pull? (Radius of earth = 6400 km, g = 9.8 m/sec 2)

### Choices

Choice (4) Response

a.

32.85 m/sec

b.

3.2805 km/sec

c.

7.32 m/sec

d.

11.32 km/sec

## Question number: 14

» Gravitation » Kepler's Laws of Planetary Motion

MCQ▾

### Question

The mean distance of mars from sun is 1.213 times the distance of the earth from the sun. The period of revolution of mars around sun will be

### Choices

Choice (4) Response

a.

4.35 earth year

b.

1.05 earth year

c.

2.35 earth year

d.

1.34 earth year

## Question number: 15

» Gravitation » Gravitational Acceleration

MCQ▾

### Question

The potential energy of gravitational interaction of a point mass m and a thin uniform rod of mass M and length l, if they are located along a straight line at a distance a from each other is-

### Choices

Choice (4) Response

a.

b.

c.

d.

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