Two satellites A and B, having masses in the ratio 4 : 3, are revolving in circular orbits of radii 3r and 4r respectively around the earth. The ratio of total mechanical energy of A to B is
- 9 : 16
- 16 : 9
- 1 : 1
- 4 : 3
The Correct Option is B
Solution and Explanation
The correct option is(B): 16 : 9.
\(=\frac{U_A}{U_B}=\frac{mA}{m_B}×\frac{r_B}{r_A}\)
\(=\frac{4}{3}×\frac{4}{3}\)
\(\frac{16}{9}\)
Top Questions on the earth's magnetic field
- If the earth's magnetic field at a certain place has a horizontal component of $ 5 $ gauss and a total field of $ 13 $ gauss, then the angle of dip at that place is:
- AP EAPCET - 2025
- Physics
- the earth's magnetic field
- The Earth's magnetic field originates from convection in which one of the following layers?
- GATE GG - 2024
- Geology and Geophysics
- the earth's magnetic field
- The Earth's magnetic field originates from convection in which one of the following layers?
- GATE GG - 2024
- Geology
- the earth's magnetic field
- Which among the following is denoted by $ \delta $?
- JKCET - 2024
- Physics
- the earth's magnetic field
- The ratio of radii of the circular paths of a proton and a deuteron when projected perpendicular to the direction of a uniform magnetic field with the same speed is
- KEAM - 2024
- Physics
- the earth's magnetic field
Questions Asked in JEE Main exam
The net current flowing in the given circuit is ___ A.
- JEE Main - 2025
- Electrical Circuits and Shunt Resistance
- A force of 49 N acts tangentially at the highest point of a sphere (solid of mass 20 kg) kept on a rough horizontal plane. If the sphere rolls without slipping, then the acceleration of the center of the sphere is:
- JEE Main - 2025
- Quantum Mechanics
If the equation \( a(b - c)x^2 + b(c - a)x + c(a - b) = 0 \) has equal roots, where \( a + c = 15 \) and \( b = \frac{36}{5} \), then \( a^2 + c^2 \) is equal to .
- JEE Main - 2025
- Algebra
- The value of \( (\sin 70^\circ)(\cot 10^\circ \cot 70^\circ - 1) \) is:
- JEE Main - 2025
- Trigonometric Identities
- A body of mass 100 g is moving in a circular path of radius 2 m on a vertical plane as shown in the figure. The velocity of the body at point A is 10 m/s. The ratio of its kinetic energies at point B and C is: (Take acceleration due to gravity as 10 m/s\(^2\))
- JEE Main - 2025
- Circular motion
Concepts Used:
Gravitational Potential Energy
The work which a body needs to do, against the force of gravity, in order to bring that body into a particular space is called Gravitational potential energy. The stored is the result of the gravitational attraction of the Earth for the object. The GPE of the massive ball of a demolition machine depends on two variables - the mass of the ball and the height to which it is raised. There is a direct relation between GPE and the mass of an object. More massive objects have greater GPE. Also, there is a direct relation between GPE and the height of an object. The higher that an object is elevated, the greater the GPE. The relationship is expressed in the following manner:
PEgrav = mass x g x height
PEgrav = m x g x h
Where,
m is the mass of the object,
h is the height of the object
g is the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.