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
Match the LIST-I with LIST-II for an isothermal process of an ideal gas system.
Choose the correct answer from the options given below:
- JEE Main - 2026
- Thermodynamics and Work Done
- A bag contains 10 balls out of which \( k \) are red and \( (10-k) \) are black, where \( 0 \le k \le 10 \). If three balls are drawn at random without replacement and all of them are found to be black, then the probability that the bag contains 1 red and 9 black balls is:
- JEE Main - 2026
- Probability
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?
- JEE Main - 2026
- Organic Chemistry
- For two identical cells each having emf \(E\) and internal resistance \(r\), the current through an external resistor of \(6\,\Omega\) is the same when the cells are connected in series as well as in parallel. The value of the internal resistance \(r\) is ________ \(\Omega\).
- JEE Main - 2026
- Current electricity
- For three unit vectors \( \vec a, \vec b, \vec c \) satisfying \[ |\vec a-\vec b|^2 + |\vec b-\vec c|^2 + |\vec c-\vec a|^2 = 9 \] and \[ |2\vec a + k\vec b + k\vec c| = 3, \] the positive value of \( k \) is:
- JEE Main - 2026
- Vector Algebra
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.