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A planet is moving in an elliptical orbit around the sun. If T, V, E and L stand respectively for its kinetic energy, gravitational potential energy, total energy and magnitude of angular momentum about the centre of force, which of the following is correct ? [1990]
  • a)
    T is conserved
  • b)
    V is always positive
  • c)
    E is always negative
  • d)
    L is conserved but direction of vector L changes continuously
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A planet is moving in an elliptical orbit around the sun. If T, V, E a...
In a circular or elliptical orbital motion, torque is always acting parallel to displacement or velocity. So, angular momentum is conserved.
In attractive field, potential energy is negative.
Kinetic energy changes as velocity increase when distance is less. So, option (c) is correct.
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Most Upvoted Answer
A planet is moving in an elliptical orbit around the sun. If T, V, E a...

Explanation:

Kinetic Energy (T):
Kinetic energy of the planet is not conserved in an elliptical orbit. It changes as the planet moves closer to or farther away from the sun.

Gravitational Potential Energy (V):
Gravitational potential energy is always negative for an orbiting planet since it is bound by the gravitational force of the sun. The negative sign indicates that work must be done on the planet to move it infinitely far away.

Total Energy (E):
The total energy of the planet in an elliptical orbit is the sum of its kinetic and gravitational potential energies. Since kinetic energy changes along the orbit, the total energy can be positive, negative, or zero depending on the positions of the planet in its orbit.

Angular Momentum (L):
The magnitude of angular momentum about the center of force is conserved in an elliptical orbit. However, the direction of the angular momentum vector changes continuously as the planet moves along its path.

Therefore, the correct statement is that the total energy (E) is not always negative in an elliptical orbit.
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A planet is moving in an elliptical orbit around the sun. If T, V, E and L stand respectively for its kinetic energy, gravitational potential energy, total energy and magnitude of angularmomentum about the centre of force, which of the following is correct ? [1990]a)T is conservedb)V is always positivec)E is always negatived)L is conserved but direction of vector L changes continuouslyCorrect answer is option 'C'. Can you explain this answer?
Question Description
A planet is moving in an elliptical orbit around the sun. If T, V, E and L stand respectively for its kinetic energy, gravitational potential energy, total energy and magnitude of angularmomentum about the centre of force, which of the following is correct ? [1990]a)T is conservedb)V is always positivec)E is always negatived)L is conserved but direction of vector L changes continuouslyCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A planet is moving in an elliptical orbit around the sun. If T, V, E and L stand respectively for its kinetic energy, gravitational potential energy, total energy and magnitude of angularmomentum about the centre of force, which of the following is correct ? [1990]a)T is conservedb)V is always positivec)E is always negatived)L is conserved but direction of vector L changes continuouslyCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A planet is moving in an elliptical orbit around the sun. If T, V, E and L stand respectively for its kinetic energy, gravitational potential energy, total energy and magnitude of angularmomentum about the centre of force, which of the following is correct ? [1990]a)T is conservedb)V is always positivec)E is always negatived)L is conserved but direction of vector L changes continuouslyCorrect answer is option 'C'. Can you explain this answer?.
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