Earth binds the atmosphere because of:

1. Gravity                                     

2. Oxygen between earth and atmosphere

3. Both 1 and 2

4 None of these

The mass of the earth is 81 times that of the moon and the radius of the earth is 3.5

times that of the moon. The ratio of the acceleration due to gravity at the surface of the

moon to that at the surface of the earth is

1. 0.15           

2. 0.0

3. 1             

4. 6

Spot the wrong statement :

The acceleration due to gravity ‘g’ decreases if

1. We go down from the surface of the earth towards its centre

2. We go up from the surface of the earth

3. We go from the equator towards the poles on the surface of the earth

4. The rotational velocity of the earth is increased

Two identical solid copper spheres of radius R were placed in contact with each other. The gravitational attraction between them is proportional to:

1. $R^2$                                               

2. $R$

3. $R^4$                                               

4. $R^5$

     Which of the following statements is true? 

1.  g is less at the earth's surface than at a height above it or a depth below it

2.  g is the same at all places on the surface of the earth

3.  g has its maximum value at the equator

4.  g is greater at the poles than at the equator

A spring balance is graduated on sea level. If a body is weighed with this balance at

consecutively increasing heights from earth's surface, the weight indicated by the

balance 

1. Will go on increasing continuously

2. Will go on decreasing continuously

3. Will remain same

4. Will first increase and then decrease

The gravitational field due to a mass distribution is $E=K/x^3$ in the x-direction. (K is a

constant). Taking the gravitational potential to be zero at infinity, its value at a distance x

is

1. K/x                    

2. K/2x

3. $K/x^2$                 

4. K/2$x^2$

The change in the potential energy, when a body of mass \(m\) is raised to a height \(nR\) from the Earth's surface is: (\(R\) = Radius of the Earth)
1. \(mgR\left(\frac{n}{n-1}\right)\)
2. \(nmgR\)
3. \(mgR\left(\frac{n^2}{n^2+1}\right)\)
4. \(mgR\left(\frac{n}{n+1}\right)\)

The value of g on the earth's surface is 980 cm/$se{c}^2$ . Its value at a height of 64 km from

the earth's surface is

1.   $960.40 cm/se{c}^2$       

2.   $984.90 cm/se{c}^2$

3.   $982.45 cm/se{c}^2$         

4. 980.45 cm/$se{c}^2$

(Radius of the earth R = 6400 kilometers)     

If the earth suddenly shrinks (without changing mass) to half of its present radius, the acceleration due to gravity will be:

1. g/2                             

2. 4g

3. g/4                            

4. 2g