04. Escape Velocity, Orbital Velocity, Satellites Motion, Binding Energy
Gravitation

138700 Escape velocity at surface of earth is $11.2 \mathrm{~km} / \mathrm{s}$. Escape velocity from a planet whose mass is the same as that of earth and radius $1 / 4$ that of earth, is

1 $2.8 \mathrm{~km} / \mathrm{s}$
2 $15.6 \mathrm{~km} / \mathrm{s}$
3 $22.4 \mathrm{~km} / \mathrm{s}$
4 $44.8 \mathrm{~km} / \mathrm{s}$
Gravitation

138701 An earth satellites $S$ has orbit radius which is 4 times that of communication satellite $C$. The period of revolution of $S$ will be

1 32 days
2 18 days
3 8 days
4 9 days
Gravitation

138702 A rocket motor consumes $100 \mathrm{~kg}$ of fuel per second exhausting it with a speed of $5 \mathrm{~km} / \mathrm{s}$. The speed of the rocket when its mass is reduced to $\frac{1^{\text {th }}}{20}$ of its initial mass, is (Assume initial speed to be zero and ignored gravitational and viscous forces.)

1 $20 \mathrm{~km} / \mathrm{s}$
2 $40 \ln (2) \mathrm{km} / \mathrm{s}$
3 $5 \ln (20) \mathrm{km} / \mathrm{s}$
4 $10 \ln (10) \mathrm{km} / \mathrm{s}$
Gravitation

138703 Consider a spherical planet which is rotating about its axis such that the speed of a point on its equator is $v$ and the effective acceleration due to gravity on the equator is $\frac{1}{3}$ of its value at the poles. What is the escape velocity for a particle at the pole of this planet.

1 $3 \mathrm{v}$
2 $2 \mathrm{v}$
3 $\sqrt{3} \mathrm{v}$
4 $\sqrt{2} \mathrm{v}$
Gravitation

138704 If the escape velocity on earth is $11.2 \mathrm{~km} / \mathrm{s}$, its value for a planet having double the radius and 8 time the mass of earth is

1 $22.4 \mathrm{~km} / \mathrm{s}$
2 $24.3 \mathrm{~km} / \mathrm{s}$
3 $26.6 \mathrm{~km} / \mathrm{s}$
4 $44.8 \mathrm{~km} / \mathrm{s}$
Gravitation

138700 Escape velocity at surface of earth is $11.2 \mathrm{~km} / \mathrm{s}$. Escape velocity from a planet whose mass is the same as that of earth and radius $1 / 4$ that of earth, is

1 $2.8 \mathrm{~km} / \mathrm{s}$
2 $15.6 \mathrm{~km} / \mathrm{s}$
3 $22.4 \mathrm{~km} / \mathrm{s}$
4 $44.8 \mathrm{~km} / \mathrm{s}$
Gravitation

138701 An earth satellites $S$ has orbit radius which is 4 times that of communication satellite $C$. The period of revolution of $S$ will be

1 32 days
2 18 days
3 8 days
4 9 days
Gravitation

138702 A rocket motor consumes $100 \mathrm{~kg}$ of fuel per second exhausting it with a speed of $5 \mathrm{~km} / \mathrm{s}$. The speed of the rocket when its mass is reduced to $\frac{1^{\text {th }}}{20}$ of its initial mass, is (Assume initial speed to be zero and ignored gravitational and viscous forces.)

1 $20 \mathrm{~km} / \mathrm{s}$
2 $40 \ln (2) \mathrm{km} / \mathrm{s}$
3 $5 \ln (20) \mathrm{km} / \mathrm{s}$
4 $10 \ln (10) \mathrm{km} / \mathrm{s}$
Gravitation

138703 Consider a spherical planet which is rotating about its axis such that the speed of a point on its equator is $v$ and the effective acceleration due to gravity on the equator is $\frac{1}{3}$ of its value at the poles. What is the escape velocity for a particle at the pole of this planet.

1 $3 \mathrm{v}$
2 $2 \mathrm{v}$
3 $\sqrt{3} \mathrm{v}$
4 $\sqrt{2} \mathrm{v}$
Gravitation

138704 If the escape velocity on earth is $11.2 \mathrm{~km} / \mathrm{s}$, its value for a planet having double the radius and 8 time the mass of earth is

1 $22.4 \mathrm{~km} / \mathrm{s}$
2 $24.3 \mathrm{~km} / \mathrm{s}$
3 $26.6 \mathrm{~km} / \mathrm{s}$
4 $44.8 \mathrm{~km} / \mathrm{s}$
Gravitation

138700 Escape velocity at surface of earth is $11.2 \mathrm{~km} / \mathrm{s}$. Escape velocity from a planet whose mass is the same as that of earth and radius $1 / 4$ that of earth, is

1 $2.8 \mathrm{~km} / \mathrm{s}$
2 $15.6 \mathrm{~km} / \mathrm{s}$
3 $22.4 \mathrm{~km} / \mathrm{s}$
4 $44.8 \mathrm{~km} / \mathrm{s}$
Gravitation

138701 An earth satellites $S$ has orbit radius which is 4 times that of communication satellite $C$. The period of revolution of $S$ will be

1 32 days
2 18 days
3 8 days
4 9 days
Gravitation

138702 A rocket motor consumes $100 \mathrm{~kg}$ of fuel per second exhausting it with a speed of $5 \mathrm{~km} / \mathrm{s}$. The speed of the rocket when its mass is reduced to $\frac{1^{\text {th }}}{20}$ of its initial mass, is (Assume initial speed to be zero and ignored gravitational and viscous forces.)

1 $20 \mathrm{~km} / \mathrm{s}$
2 $40 \ln (2) \mathrm{km} / \mathrm{s}$
3 $5 \ln (20) \mathrm{km} / \mathrm{s}$
4 $10 \ln (10) \mathrm{km} / \mathrm{s}$
Gravitation

138703 Consider a spherical planet which is rotating about its axis such that the speed of a point on its equator is $v$ and the effective acceleration due to gravity on the equator is $\frac{1}{3}$ of its value at the poles. What is the escape velocity for a particle at the pole of this planet.

1 $3 \mathrm{v}$
2 $2 \mathrm{v}$
3 $\sqrt{3} \mathrm{v}$
4 $\sqrt{2} \mathrm{v}$
Gravitation

138704 If the escape velocity on earth is $11.2 \mathrm{~km} / \mathrm{s}$, its value for a planet having double the radius and 8 time the mass of earth is

1 $22.4 \mathrm{~km} / \mathrm{s}$
2 $24.3 \mathrm{~km} / \mathrm{s}$
3 $26.6 \mathrm{~km} / \mathrm{s}$
4 $44.8 \mathrm{~km} / \mathrm{s}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Gravitation

138700 Escape velocity at surface of earth is $11.2 \mathrm{~km} / \mathrm{s}$. Escape velocity from a planet whose mass is the same as that of earth and radius $1 / 4$ that of earth, is

1 $2.8 \mathrm{~km} / \mathrm{s}$
2 $15.6 \mathrm{~km} / \mathrm{s}$
3 $22.4 \mathrm{~km} / \mathrm{s}$
4 $44.8 \mathrm{~km} / \mathrm{s}$
Gravitation

138701 An earth satellites $S$ has orbit radius which is 4 times that of communication satellite $C$. The period of revolution of $S$ will be

1 32 days
2 18 days
3 8 days
4 9 days
Gravitation

138702 A rocket motor consumes $100 \mathrm{~kg}$ of fuel per second exhausting it with a speed of $5 \mathrm{~km} / \mathrm{s}$. The speed of the rocket when its mass is reduced to $\frac{1^{\text {th }}}{20}$ of its initial mass, is (Assume initial speed to be zero and ignored gravitational and viscous forces.)

1 $20 \mathrm{~km} / \mathrm{s}$
2 $40 \ln (2) \mathrm{km} / \mathrm{s}$
3 $5 \ln (20) \mathrm{km} / \mathrm{s}$
4 $10 \ln (10) \mathrm{km} / \mathrm{s}$
Gravitation

138703 Consider a spherical planet which is rotating about its axis such that the speed of a point on its equator is $v$ and the effective acceleration due to gravity on the equator is $\frac{1}{3}$ of its value at the poles. What is the escape velocity for a particle at the pole of this planet.

1 $3 \mathrm{v}$
2 $2 \mathrm{v}$
3 $\sqrt{3} \mathrm{v}$
4 $\sqrt{2} \mathrm{v}$
Gravitation

138704 If the escape velocity on earth is $11.2 \mathrm{~km} / \mathrm{s}$, its value for a planet having double the radius and 8 time the mass of earth is

1 $22.4 \mathrm{~km} / \mathrm{s}$
2 $24.3 \mathrm{~km} / \mathrm{s}$
3 $26.6 \mathrm{~km} / \mathrm{s}$
4 $44.8 \mathrm{~km} / \mathrm{s}$
Gravitation

138700 Escape velocity at surface of earth is $11.2 \mathrm{~km} / \mathrm{s}$. Escape velocity from a planet whose mass is the same as that of earth and radius $1 / 4$ that of earth, is

1 $2.8 \mathrm{~km} / \mathrm{s}$
2 $15.6 \mathrm{~km} / \mathrm{s}$
3 $22.4 \mathrm{~km} / \mathrm{s}$
4 $44.8 \mathrm{~km} / \mathrm{s}$
Gravitation

138701 An earth satellites $S$ has orbit radius which is 4 times that of communication satellite $C$. The period of revolution of $S$ will be

1 32 days
2 18 days
3 8 days
4 9 days
Gravitation

138702 A rocket motor consumes $100 \mathrm{~kg}$ of fuel per second exhausting it with a speed of $5 \mathrm{~km} / \mathrm{s}$. The speed of the rocket when its mass is reduced to $\frac{1^{\text {th }}}{20}$ of its initial mass, is (Assume initial speed to be zero and ignored gravitational and viscous forces.)

1 $20 \mathrm{~km} / \mathrm{s}$
2 $40 \ln (2) \mathrm{km} / \mathrm{s}$
3 $5 \ln (20) \mathrm{km} / \mathrm{s}$
4 $10 \ln (10) \mathrm{km} / \mathrm{s}$
Gravitation

138703 Consider a spherical planet which is rotating about its axis such that the speed of a point on its equator is $v$ and the effective acceleration due to gravity on the equator is $\frac{1}{3}$ of its value at the poles. What is the escape velocity for a particle at the pole of this planet.

1 $3 \mathrm{v}$
2 $2 \mathrm{v}$
3 $\sqrt{3} \mathrm{v}$
4 $\sqrt{2} \mathrm{v}$
Gravitation

138704 If the escape velocity on earth is $11.2 \mathrm{~km} / \mathrm{s}$, its value for a planet having double the radius and 8 time the mass of earth is

1 $22.4 \mathrm{~km} / \mathrm{s}$
2 $24.3 \mathrm{~km} / \mathrm{s}$
3 $26.6 \mathrm{~km} / \mathrm{s}$
4 $44.8 \mathrm{~km} / \mathrm{s}$