The eccentricity of earth's orbit is 0.0167. The ratio of its maximum speed in its orbit to its minimum speed is

(a)   2.507                                             (b)   1.033

(c)   8.324                                             (d)   1.000

Subtopic:  Kepler's Laws |
 72%
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NEET 2023 - Target Batch - Aryan Raj Singh
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Assuming the earth to have a constant density, point out which of the following curves show the variation of acceleration due to gravity from the centre of earth to the points far away from the surface of earth -

Subtopic:  Acceleration due to Gravity |
 84%
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh

The radius of orbit of a planet is two times that of the earth. The time period of the planet is:

(1)   4.2 years                          

(2)   2.8 years

(3)   5.6 years                          

(4)   8.4 years

Subtopic:  Kepler's Laws |
 80%
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh

The diagram showing the variation of gravitational potential of earth with distance r from the centre of earth is -

Subtopic:  Gravitational Potential | Gravitational Potential Energy |
 51%
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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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Links
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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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