00. Newton's Law of Gravitation
Gravitation

270595 If the mass of one particle is increased by 50 \(\%\) and the mass of another particle is decreased by \(50 \%\), the force between them

1 decreases by\(25 \%\)
2 decreases by\(75 \%\)
3 increases by\(25 \%\)
4 does not change
Gravitation

270596 If the distance between the sun and the earth is increased by three times, then the gravitational force between the two will

1 remain constant
2 decrease by\(63 \%\)
3 increase by\(63 \%\)
4 decrease by\(89 \%\)
Gravitation

270597 Two lead balls of masses \(m\) and \(5 m\) having radii \(R\) and \(2 R\) are separated by \(12 R\). If they attract each other by gravitational force, the distance covered by small sphere before they touch each other is

1 \(10 R\)
2 \(7.5 \mathrm{R}\)
3 \(9 R\)
4 \(2.5 \mathrm{R}\)
Gravitation

270598 Three identical particles each of mass " \(m\) " are arranged at the corners of an equilateral triangle of side " \(L\) ". If they are to be in equilibrium, the speed with which they must revolve under the influence of one another's gravity in a circular orbit circumscribing the triangle is

1 \(\sqrt{\frac{3 G m}{\mathrm{~L}}}\)
2 \(\sqrt{\frac{G m}{L}}\)
3 \(\sqrt{\frac{G m}{3 L}}\)
4 \(\sqrt{\frac{3 G m}{L^{2}}}\)
Gravitation

270595 If the mass of one particle is increased by 50 \(\%\) and the mass of another particle is decreased by \(50 \%\), the force between them

1 decreases by\(25 \%\)
2 decreases by\(75 \%\)
3 increases by\(25 \%\)
4 does not change
Gravitation

270596 If the distance between the sun and the earth is increased by three times, then the gravitational force between the two will

1 remain constant
2 decrease by\(63 \%\)
3 increase by\(63 \%\)
4 decrease by\(89 \%\)
Gravitation

270597 Two lead balls of masses \(m\) and \(5 m\) having radii \(R\) and \(2 R\) are separated by \(12 R\). If they attract each other by gravitational force, the distance covered by small sphere before they touch each other is

1 \(10 R\)
2 \(7.5 \mathrm{R}\)
3 \(9 R\)
4 \(2.5 \mathrm{R}\)
Gravitation

270598 Three identical particles each of mass " \(m\) " are arranged at the corners of an equilateral triangle of side " \(L\) ". If they are to be in equilibrium, the speed with which they must revolve under the influence of one another's gravity in a circular orbit circumscribing the triangle is

1 \(\sqrt{\frac{3 G m}{\mathrm{~L}}}\)
2 \(\sqrt{\frac{G m}{L}}\)
3 \(\sqrt{\frac{G m}{3 L}}\)
4 \(\sqrt{\frac{3 G m}{L^{2}}}\)
Gravitation

270595 If the mass of one particle is increased by 50 \(\%\) and the mass of another particle is decreased by \(50 \%\), the force between them

1 decreases by\(25 \%\)
2 decreases by\(75 \%\)
3 increases by\(25 \%\)
4 does not change
Gravitation

270596 If the distance between the sun and the earth is increased by three times, then the gravitational force between the two will

1 remain constant
2 decrease by\(63 \%\)
3 increase by\(63 \%\)
4 decrease by\(89 \%\)
Gravitation

270597 Two lead balls of masses \(m\) and \(5 m\) having radii \(R\) and \(2 R\) are separated by \(12 R\). If they attract each other by gravitational force, the distance covered by small sphere before they touch each other is

1 \(10 R\)
2 \(7.5 \mathrm{R}\)
3 \(9 R\)
4 \(2.5 \mathrm{R}\)
Gravitation

270598 Three identical particles each of mass " \(m\) " are arranged at the corners of an equilateral triangle of side " \(L\) ". If they are to be in equilibrium, the speed with which they must revolve under the influence of one another's gravity in a circular orbit circumscribing the triangle is

1 \(\sqrt{\frac{3 G m}{\mathrm{~L}}}\)
2 \(\sqrt{\frac{G m}{L}}\)
3 \(\sqrt{\frac{G m}{3 L}}\)
4 \(\sqrt{\frac{3 G m}{L^{2}}}\)
Gravitation

270595 If the mass of one particle is increased by 50 \(\%\) and the mass of another particle is decreased by \(50 \%\), the force between them

1 decreases by\(25 \%\)
2 decreases by\(75 \%\)
3 increases by\(25 \%\)
4 does not change
Gravitation

270596 If the distance between the sun and the earth is increased by three times, then the gravitational force between the two will

1 remain constant
2 decrease by\(63 \%\)
3 increase by\(63 \%\)
4 decrease by\(89 \%\)
Gravitation

270597 Two lead balls of masses \(m\) and \(5 m\) having radii \(R\) and \(2 R\) are separated by \(12 R\). If they attract each other by gravitational force, the distance covered by small sphere before they touch each other is

1 \(10 R\)
2 \(7.5 \mathrm{R}\)
3 \(9 R\)
4 \(2.5 \mathrm{R}\)
Gravitation

270598 Three identical particles each of mass " \(m\) " are arranged at the corners of an equilateral triangle of side " \(L\) ". If they are to be in equilibrium, the speed with which they must revolve under the influence of one another's gravity in a circular orbit circumscribing the triangle is

1 \(\sqrt{\frac{3 G m}{\mathrm{~L}}}\)
2 \(\sqrt{\frac{G m}{L}}\)
3 \(\sqrt{\frac{G m}{3 L}}\)
4 \(\sqrt{\frac{3 G m}{L^{2}}}\)