Physics
Mechanics
Easy
Question
Two rings having masses M and 2M, respectively, having same radius are placed coaxially as shown in figure.
If the Mass distribution on both the rings is non-uniform, then gravitational potential at point p is
- zero
- none
The correct answer is:
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Two identical spheres each of radius R are placed with their centres at a distance nR, where n is integer greater than 2. The gravitational force between them will be proportional to
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The distance of Neptune and Saturn from the Sun are respectively 
and 
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A satellite is revolving around the earth in a circular orbit of radius a with velocity . A particle is projected from the satellite in forward direction with relative velocity 
. During the subsequent motion of the particle, match the following:
Column I
Column II
i. Total energy of particle
a.
ii. Minimum distance of particle from the earth
b. 
iii. Maximum distance of particle from the earth
c. 
d. 2a
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|
Column I |
Column II |
| i. Total energy of particle |
a. |
| ii. Minimum distance of particle from the earth |
b. |
| iii. Maximum distance of particle from the earth |
c. |
| |
d. 2a |
| |
e. 2 a/3 |
| |
f. a |
A satellite is revolving around the earth in a circular orbit of radius a with velocity . A particle is projected from the satellite in forward direction with relative velocity . During the subsequent motion of the particle, match the following:
Column I
Column II
i. Total energy of particle
a.
ii. Minimum distance of particle from the earth
b.
iii. Maximum distance of particle from the earth
c.
d. 2a
e. 2 a/3
f. a
|
Column I |
Column II |
| i. Total energy of particle |
a. |
| ii. Minimum distance of particle from the earth |
b. |
| iii. Maximum distance of particle from the earth |
c. |
| |
d. 2a |
| |
e. 2 a/3 |
| |
f. a |
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Let V and E denote the gravitational potential and gravitational field, respectively, at a point due to certain uniform mass distribution described in four different situations of Column I. Assume the gravitational potential at infinity to be zero. The values of E and V are given in Column II Match the statement in column I with the results in Column II.
|
Column I |
Column II |
| i. At the centre of thin spherical shell |
a. E = 0 |
| ii. At the centre of solid sphere |
b. E ≠ 0 |
| iii. A solid sphere has a non-concentric spherical cavity. At the centre of the spherical cavity |
c. V ≠ 0 |
| iv. At the centre of the joining two point masses of equal magnitude |
d. V = 0 |
Let V and E denote the gravitational potential and gravitational field, respectively, at a point due to certain uniform mass distribution described in four different situations of Column I. Assume the gravitational potential at infinity to be zero. The values of E and V are given in Column II Match the statement in column I with the results in Column II.
|
Column I |
Column II |
| i. At the centre of thin spherical shell |
a. E = 0 |
| ii. At the centre of solid sphere |
b. E ≠ 0 |
| iii. A solid sphere has a non-concentric spherical cavity. At the centre of the spherical cavity |
c. V ≠ 0 |
| iv. At the centre of the joining two point masses of equal magnitude |
d. V = 0 |
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