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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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 |
 73%
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints

Which of the following graphs represents the motion of a planet moving about the sun ?

Subtopic:  Kepler's Laws |
 79%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

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 |
 76%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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 ratio

1.  1 : 2                             

2.  2 : 3

3.  2 : 1                           

4.  4 : 1

Subtopic:  Acceleration due to Gravity |
 84%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Weight of 1 kg becomes 1/6 kg on moon. If radius of moon is 1.768×106m, then the mass of moon will be -

1. 1.99×1030kg                        

2. 7.56×1022kg

3. 5.98×1024kg                       

4. 7.65×1022kg

Subtopic:  Acceleration due to Gravity |
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

Let g be the acceleration due to gravity at the earth's surface and K be the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2% keeping all other quantities the same, then

1.  g decreases by 2% and K decreases by 4%

2.  g decreases by 4% and K increases by 2%

3.  g increases by 4% and K increases by 4%

4.  g decreases by 4% and K increases by 4%

Subtopic:  Acceleration due to Gravity |
 67%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Distance of geostationary satellite from the center of the Earth  (Re=6400 km) in terms of Re is-

1. 13.76 Re                        

2. 10.76 Re

3. 6.59 Re                            

4. 2.56 Re

Subtopic:  Satellite |
 58%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Energy required to move a body of mass m from an orbit of radius 2R to 3R is

1.     GMm/12R2               

2.    GMm/3R2

3.     GMm/8R                 

4.     GMm/6R

Subtopic:  Gravitational Potential Energy |
 72%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to -

1. 1R                      

2. 1R

3. R                         

4.  1R3/2

Subtopic:  Gravitational Potential Energy | Satellite |
 83%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch