The orbital angular momentum of a satellite revolving at a distance \(r\)from the centre is \(L\). If the distance is increased to 16r, then the new angular momentum will be:

1. \(16~L\) 2. \(64~L\)
3. \(L \over 4\) 4. \(4~L\)

Subtopic:  Satellite |
From NCERT
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The condition for a uniform spherical mass m of radius r to be a black hole is [G= gravitational constant and g= acceleration due to gravity] .

(1) 2Gm/r1/2c                

(2) 2Gm/r1/2=c 

(3) 2Gm/r1/2c                

(4)  gm/r1/2c

Subtopic:  Escape velocity |
 75%
From NCERT
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A sphere of mass M and radius R2 has a concentric cavity of radius R1 as shown in figure. The force exerted by the sphere on a particle of mass m located at a distance r from the centre of sphere varies as (0r)

Subtopic:  Gravitational Field |
From NCERT
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Which one of the following graphs represents correctly the variation of the gravitational field (I) with the distance (r) from the centre of a spherical shell of mass M and radius a ?

Subtopic:  Gravitational Field |
 69%
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Suppose, the acceleration due to gravity at the earth’s surface is 10 m/s2 and at the surface of Mars, it is 4.0 m/s2. A 60 kg passenger goes from the earth to Mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky. Which part of the figure best represents the weight (net gravitational force) of the passenger as a function of time ?

(a) A                              (b) B

(c) C                              (d) D

 

Subtopic:  Gravitational Field |
 65%
From NCERT
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Which of the following graphs represents the motion of a planet moving about the sun ?

Subtopic:  Kepler's Laws |
 77%
From NCERT
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The correct graph representing the variation of total energy (Et), kinetic energy (Ek) and potential energy (U) of a satellite with its distance from the centre of the earth is -

Subtopic:  Gravitational Potential Energy |
 75%
From NCERT
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What is the intensity of gravitational field of the centre of a spherical shell?

(1)     Gm/r2           

(2)    g

(3)      Zero             

(4)    None of these

Subtopic:  Gravitational Field |
 89%
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The diameters of two planets are in the ratio 4 : 1 and their mean densities in the ratio 1 : 2. The acceleration due to gravity on the planets will be in the ratio of:

1. 1 : 2                           
2. 2 : 3
3. 2 : 1                      
4. 4 : 1

Subtopic:  Acceleration due to Gravity |
 85%
From NCERT
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If the angular speed of the earth is doubled, the value of acceleration due to gravity (g) at the north pole

(1) Doubles                   

(2)  Becomes half

(3)  Remains same       

(4)   Becomes zero

Subtopic:  Acceleration due to Gravity |
 77%
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