00. Newton's Law of Gravitation
Gravitation

270630 If the distance between two bodies is increased by \(25 \%\), then the \(\%\) change in the gravitational force is

1 Decreases by\(36 \%\)
2 Increases by\(36 \%\)
3 Increases by\(64 \%\)
4 Decreases by\(64 \%\)
Gravitation

270631 Three point masses each of mass ' \(m\) ' rotate in a circle of radius \(r\) with constant angular velocity wdue to their mutual gravitational attraction. If at any instant, the masses are on the vertex of an equilateral triangle of side ' \(a\) ', then the value of \(\omega\) is

1 \(\sqrt{\frac{G m}{a^{3}}}\)
2 \(\sqrt{\frac{3 G m}{a^{3}}}\)
3 \(\sqrt{\frac{G m}{3 a^{3}}}\)
4 Zero
Gravitation

270632 The angular momentum \((\mathrm{L})\) of earth revolving round the sun is proportional to \(r^{n}\), where \(r\) is the orbital radius of the earth. The value of ' \(n\) ' is :(assume the orbit to be circular)

1 \(\frac{1}{2}\)
2 1
3 \(-\frac{1}{2}\)
4 2
Gravitation

270633 Four particles of masses \(m, 2 m, 3 m\) and \(4 m\) are placed at the corners of a square of side length a. The gravitational force on a particle of mass mplaced at the centre of the square is

1 \(4 \sqrt{2} \frac{G m^{2}}{a^{2}}\)
2 \(\frac{3 \sqrt{2} G m^{2}}{a^{2}}\)
3 \(\frac{2 \sqrt{2} G m^{2}}{a^{2}}\)
4 \(\frac{\sqrt{2} G m^{2}}{a^{2}}\)
Gravitation

138278 Given below are two statements
Statement-I: The law of gravitation holds good for any pair of bodies in the universe.
Statement-II: The weight of any person becomes zero when the person is at the center of the earth.
In the light of the above statements, choose the correct answer from the options given below

1 Both statement I and statement II are true
2 Both statement I and statement II are false
3 Statement I is true but statement II is false
4 Statement I is false but statement II is true
Gravitation

270630 If the distance between two bodies is increased by \(25 \%\), then the \(\%\) change in the gravitational force is

1 Decreases by\(36 \%\)
2 Increases by\(36 \%\)
3 Increases by\(64 \%\)
4 Decreases by\(64 \%\)
Gravitation

270631 Three point masses each of mass ' \(m\) ' rotate in a circle of radius \(r\) with constant angular velocity wdue to their mutual gravitational attraction. If at any instant, the masses are on the vertex of an equilateral triangle of side ' \(a\) ', then the value of \(\omega\) is

1 \(\sqrt{\frac{G m}{a^{3}}}\)
2 \(\sqrt{\frac{3 G m}{a^{3}}}\)
3 \(\sqrt{\frac{G m}{3 a^{3}}}\)
4 Zero
Gravitation

270632 The angular momentum \((\mathrm{L})\) of earth revolving round the sun is proportional to \(r^{n}\), where \(r\) is the orbital radius of the earth. The value of ' \(n\) ' is :(assume the orbit to be circular)

1 \(\frac{1}{2}\)
2 1
3 \(-\frac{1}{2}\)
4 2
Gravitation

270633 Four particles of masses \(m, 2 m, 3 m\) and \(4 m\) are placed at the corners of a square of side length a. The gravitational force on a particle of mass mplaced at the centre of the square is

1 \(4 \sqrt{2} \frac{G m^{2}}{a^{2}}\)
2 \(\frac{3 \sqrt{2} G m^{2}}{a^{2}}\)
3 \(\frac{2 \sqrt{2} G m^{2}}{a^{2}}\)
4 \(\frac{\sqrt{2} G m^{2}}{a^{2}}\)
Gravitation

138278 Given below are two statements
Statement-I: The law of gravitation holds good for any pair of bodies in the universe.
Statement-II: The weight of any person becomes zero when the person is at the center of the earth.
In the light of the above statements, choose the correct answer from the options given below

1 Both statement I and statement II are true
2 Both statement I and statement II are false
3 Statement I is true but statement II is false
4 Statement I is false but statement II is true
Gravitation

270630 If the distance between two bodies is increased by \(25 \%\), then the \(\%\) change in the gravitational force is

1 Decreases by\(36 \%\)
2 Increases by\(36 \%\)
3 Increases by\(64 \%\)
4 Decreases by\(64 \%\)
Gravitation

270631 Three point masses each of mass ' \(m\) ' rotate in a circle of radius \(r\) with constant angular velocity wdue to their mutual gravitational attraction. If at any instant, the masses are on the vertex of an equilateral triangle of side ' \(a\) ', then the value of \(\omega\) is

1 \(\sqrt{\frac{G m}{a^{3}}}\)
2 \(\sqrt{\frac{3 G m}{a^{3}}}\)
3 \(\sqrt{\frac{G m}{3 a^{3}}}\)
4 Zero
Gravitation

270632 The angular momentum \((\mathrm{L})\) of earth revolving round the sun is proportional to \(r^{n}\), where \(r\) is the orbital radius of the earth. The value of ' \(n\) ' is :(assume the orbit to be circular)

1 \(\frac{1}{2}\)
2 1
3 \(-\frac{1}{2}\)
4 2
Gravitation

270633 Four particles of masses \(m, 2 m, 3 m\) and \(4 m\) are placed at the corners of a square of side length a. The gravitational force on a particle of mass mplaced at the centre of the square is

1 \(4 \sqrt{2} \frac{G m^{2}}{a^{2}}\)
2 \(\frac{3 \sqrt{2} G m^{2}}{a^{2}}\)
3 \(\frac{2 \sqrt{2} G m^{2}}{a^{2}}\)
4 \(\frac{\sqrt{2} G m^{2}}{a^{2}}\)
Gravitation

138278 Given below are two statements
Statement-I: The law of gravitation holds good for any pair of bodies in the universe.
Statement-II: The weight of any person becomes zero when the person is at the center of the earth.
In the light of the above statements, choose the correct answer from the options given below

1 Both statement I and statement II are true
2 Both statement I and statement II are false
3 Statement I is true but statement II is false
4 Statement I is false but statement II is true
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Gravitation

270630 If the distance between two bodies is increased by \(25 \%\), then the \(\%\) change in the gravitational force is

1 Decreases by\(36 \%\)
2 Increases by\(36 \%\)
3 Increases by\(64 \%\)
4 Decreases by\(64 \%\)
Gravitation

270631 Three point masses each of mass ' \(m\) ' rotate in a circle of radius \(r\) with constant angular velocity wdue to their mutual gravitational attraction. If at any instant, the masses are on the vertex of an equilateral triangle of side ' \(a\) ', then the value of \(\omega\) is

1 \(\sqrt{\frac{G m}{a^{3}}}\)
2 \(\sqrt{\frac{3 G m}{a^{3}}}\)
3 \(\sqrt{\frac{G m}{3 a^{3}}}\)
4 Zero
Gravitation

270632 The angular momentum \((\mathrm{L})\) of earth revolving round the sun is proportional to \(r^{n}\), where \(r\) is the orbital radius of the earth. The value of ' \(n\) ' is :(assume the orbit to be circular)

1 \(\frac{1}{2}\)
2 1
3 \(-\frac{1}{2}\)
4 2
Gravitation

270633 Four particles of masses \(m, 2 m, 3 m\) and \(4 m\) are placed at the corners of a square of side length a. The gravitational force on a particle of mass mplaced at the centre of the square is

1 \(4 \sqrt{2} \frac{G m^{2}}{a^{2}}\)
2 \(\frac{3 \sqrt{2} G m^{2}}{a^{2}}\)
3 \(\frac{2 \sqrt{2} G m^{2}}{a^{2}}\)
4 \(\frac{\sqrt{2} G m^{2}}{a^{2}}\)
Gravitation

138278 Given below are two statements
Statement-I: The law of gravitation holds good for any pair of bodies in the universe.
Statement-II: The weight of any person becomes zero when the person is at the center of the earth.
In the light of the above statements, choose the correct answer from the options given below

1 Both statement I and statement II are true
2 Both statement I and statement II are false
3 Statement I is true but statement II is false
4 Statement I is false but statement II is true
Gravitation

270630 If the distance between two bodies is increased by \(25 \%\), then the \(\%\) change in the gravitational force is

1 Decreases by\(36 \%\)
2 Increases by\(36 \%\)
3 Increases by\(64 \%\)
4 Decreases by\(64 \%\)
Gravitation

270631 Three point masses each of mass ' \(m\) ' rotate in a circle of radius \(r\) with constant angular velocity wdue to their mutual gravitational attraction. If at any instant, the masses are on the vertex of an equilateral triangle of side ' \(a\) ', then the value of \(\omega\) is

1 \(\sqrt{\frac{G m}{a^{3}}}\)
2 \(\sqrt{\frac{3 G m}{a^{3}}}\)
3 \(\sqrt{\frac{G m}{3 a^{3}}}\)
4 Zero
Gravitation

270632 The angular momentum \((\mathrm{L})\) of earth revolving round the sun is proportional to \(r^{n}\), where \(r\) is the orbital radius of the earth. The value of ' \(n\) ' is :(assume the orbit to be circular)

1 \(\frac{1}{2}\)
2 1
3 \(-\frac{1}{2}\)
4 2
Gravitation

270633 Four particles of masses \(m, 2 m, 3 m\) and \(4 m\) are placed at the corners of a square of side length a. The gravitational force on a particle of mass mplaced at the centre of the square is

1 \(4 \sqrt{2} \frac{G m^{2}}{a^{2}}\)
2 \(\frac{3 \sqrt{2} G m^{2}}{a^{2}}\)
3 \(\frac{2 \sqrt{2} G m^{2}}{a^{2}}\)
4 \(\frac{\sqrt{2} G m^{2}}{a^{2}}\)
Gravitation

138278 Given below are two statements
Statement-I: The law of gravitation holds good for any pair of bodies in the universe.
Statement-II: The weight of any person becomes zero when the person is at the center of the earth.
In the light of the above statements, choose the correct answer from the options given below

1 Both statement I and statement II are true
2 Both statement I and statement II are false
3 Statement I is true but statement II is false
4 Statement I is false but statement II is true