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Physics · GRAVITATION

हिन्दी

Consider the following statements regarding an artificial satellite revolving in a circular orbit around the Earth: (A) The centripetal force is provided by the gravitational attraction of the Earth. (B) The linear speed of the satellite is directly proportional to the square root of its orbital radius. (C) The time period of revolution is independent of the mass of the satellite. (D) If the radius of the orbit is doubled, its orbital speed decreases by a factor of \( \sqrt{2} \). Choose the correct answer from the options given below:

  1. (A), (B) and (C) only
  2. (B) and (D) only
  3. (A), (C) and (D) only
  4. (C) and (D) only

Correct answer · Option 3

(A), (C) and (D) only

Explanation

Speed \( V = \sqrt{GM_E/r} \) is inversely proportional to \( \sqrt{r} \), making (B) incorrect. Statements (A), (C), and (D) are correct.

Related questions

Consider the following statements regarding the energies of an Earth satellite in a circular orbit of radius \( r \) (\( r = R_E + h \)): (A) Kinetic energy \( K.E. = \frac{G M_E m}{2r} \) (B) Potential energy \( P.E. = -\frac{G M_E m}{r} \) (C) Total energy \( E = -\frac{G M_E m}{2r} \) (D) \( K.E. = -2E \) Which of the above statements are correct?→The gravitational force between two point masses \( m_1 \) and \( m_2 \) separated by distance \( r \) is \( F \). If the mass \( m_1 \) is increased by \( 100\% \), mass \( m_2 \) is decreased by \( 50\% \), and the distance between them is halved, the new gravitational force will be:→In the given diagram, a point mass \( m \) is located at depth \( d \) from the Earth's surface. What fraction of the Earth's total mass \( M_E \) contributes to the gravitational force acting on this mass, assuming uniform density?→The work done in lifting a particle of mass \( m \) from a distance \( r_1 \) to \( r_2 \) (where \( r_2 > r_1 > R_E \)) from the centre of the Earth of mass \( M_E \) is:→
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