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

Subtopic:  Acceleration due to Gravity |
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The gravitational field due to a mass distribution is E=K/x3 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/x2                 

4. K/2x2

Subtopic:  Gravitational Potential |
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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. \(mgR\left(\frac{n}{n+1}\right)\)

Subtopic:  Gravitational Potential Energy |
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The value of g on the earth's surface is 980 cm/sec2 . Its value at a height of 64 km from

the earth's surface is

1.   960.40 cm/sec2       

2.   984.90 cm/sec2

3.   982.45 cm/sec2         

4. 980.45 cm/sec2

(Radius of the earth R = 6400 kilometers)     

Subtopic:  Acceleration due to Gravity |
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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

Subtopic:  Acceleration due to Gravity |
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The masses and radii of the earth and moon are M1, R1 and M2, R2 respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass should be projected from a point midway between their centres so that it escapes to infinity is:

1. 2GDM1+M2                 

2. 22GD(M1+M2)

3. 2GMDM1+M2               

4. 2GMM1+M2DR1+R2

Subtopic:  Gravitational Potential Energy |
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If the mass of the earth is M, the radius is R and the gravitational constant is G, then work done to take

1 kg mass from earth surface to infinity will be:

1.  GM2R                      

2.  GMR

3.   2GMR                

4.   GM2R

Subtopic:  Gravitational Potential Energy |
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If ve and vo represent the escape velocity and orbital velocity of a satellite corresponding

to a circular orbit of radius R, then 

1. ve=vo                     

2. 2vo=ve

3. ve=vo/2               

4. ve and vo are not related

Subtopic:  Escape velocity | Orbital velocity |
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If r represents the radius of the orbit of a satellite of mass m moving around a planet of

mass M, the velocity of the satellite is given by: 

1. v2=gMr                     

2. v2=GMmr

3. v=GMr                        

4. v2=GMr

Subtopic:  Satellite |
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An earth satellite of mass m revolves in a circular orbit at a height h from the surface of

the earth. R is the radius of the earth and g is acceleration due to gravity at the surface

of the earth. The velocity of the satellite in the orbit is given by:

1. gR2R+h                     

2. gR

3. gRR+h                     

4. gR2R+h

Subtopic:  Orbital velocity |
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