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Four satellites A, B, C and D are orbiting around a spherical planet of uniform density. The orbits of all the satellites are coplanar. Orbits of satellites A and B are circular where radius of orbit A is greater than diameter of orbit B. Orbit C is touching orbits A and B. While orbit D is touching orbit A but its nearest distance from the planet is least among all four orbits. All the satellites have same mass and these satellite can be considered as particles. There is no gravitational force between the satellite and also there is no chance of collision between the satellites. Consider gravitational potential energy to be zero under infinite separation.
In which orbit does the angular momentum have largest magnitude?
  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    D
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Four satellites A, B, C and D are orbiting around a spherical planet o...
Explanation:
To determine the orbit with the largest angular momentum, we need to consider the formula for angular momentum of a particle moving in a circular orbit around a central mass:

L = mvr

where L is the angular momentum, m is the mass of the particle, v is the velocity of the particle, and r is the radius of the orbit.

From the given information, we know that all the satellites have the same mass and that the orbits of A and B are circular. We also know that the radius of orbit A is greater than the diameter of orbit B.

Therefore, we can conclude that the velocity of satellite A is greater than that of satellite B, as it has a larger radius and completes its orbit in the same time as satellite B.

We can also deduce that the angular momentum of satellite A is greater than that of satellite B, as it has a greater velocity and a larger radius.

Furthermore, since orbit C touches both orbits A and B, its velocity lies between those of A and B. Therefore, its angular momentum will be less than that of A but greater than that of B.

Finally, since orbit D has the least distance from the planet among all four orbits, its radius is the smallest. Therefore, its velocity will also be the smallest, and hence, its angular momentum will be the smallest among the four orbits.

Hence, we can conclude that the orbit with the largest angular momentum is orbit A.
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Community Answer
Four satellites A, B, C and D are orbiting around a spherical planet o...
THE ANSWER TO THE QUESTION IS OPTION:A
EXPLANATION
ACCORDING TO THE QUESTION, RADIUS OF A IS TWICE THE DIAMETER OF B. THAT MEANS A HAS LESS RADIUS THAN B. NOW C AND D ACCORDING TO QUESTION WILL BE FARTHER FROM A ALTHOUGH IT IS GIVEN THAT D IS TOUCHING ORBIT OF A, IS OVERALL CIRCULAR ORBIT WILL BE THE LARGEST, HENCE AS THE RADIUS IS DIRECTLY PROPORTIONAL TO ANGULAR MOMENTUM OF A PARTICLE IS CIRCULAR MOTION, A's ANGULAR MOMENTUM IS GREATER
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Four satellites A, B, C and D are orbiting around a spherical planet of uniform density. The orbits of all the satellites are coplanar. Orbits of satellites A and B are circular where radius of orbit A is greater than diameter of orbit B. Orbit C is touching orbits A and B. While orbit D is touching orbit A but its nearest distance from the planet is least among all four orbits. All the satellites have same mass and these satellite can be considered as particles. There is no gravitational force between the satellite and also there is no chance of collision between the satellites. Consider gravitational potential energy to be zero under infinite separation.In which orbit does the angular momentum have largest magnitude?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer?
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Four satellites A, B, C and D are orbiting around a spherical planet of uniform density. The orbits of all the satellites are coplanar. Orbits of satellites A and B are circular where radius of orbit A is greater than diameter of orbit B. Orbit C is touching orbits A and B. While orbit D is touching orbit A but its nearest distance from the planet is least among all four orbits. All the satellites have same mass and these satellite can be considered as particles. There is no gravitational force between the satellite and also there is no chance of collision between the satellites. Consider gravitational potential energy to be zero under infinite separation.In which orbit does the angular momentum have largest magnitude?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Four satellites A, B, C and D are orbiting around a spherical planet of uniform density. The orbits of all the satellites are coplanar. Orbits of satellites A and B are circular where radius of orbit A is greater than diameter of orbit B. Orbit C is touching orbits A and B. While orbit D is touching orbit A but its nearest distance from the planet is least among all four orbits. All the satellites have same mass and these satellite can be considered as particles. There is no gravitational force between the satellite and also there is no chance of collision between the satellites. Consider gravitational potential energy to be zero under infinite separation.In which orbit does the angular momentum have largest magnitude?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four satellites A, B, C and D are orbiting around a spherical planet of uniform density. The orbits of all the satellites are coplanar. Orbits of satellites A and B are circular where radius of orbit A is greater than diameter of orbit B. Orbit C is touching orbits A and B. While orbit D is touching orbit A but its nearest distance from the planet is least among all four orbits. All the satellites have same mass and these satellite can be considered as particles. There is no gravitational force between the satellite and also there is no chance of collision between the satellites. Consider gravitational potential energy to be zero under infinite separation.In which orbit does the angular momentum have largest magnitude?a)Ab)Bc)Cd)DCorrect answer is option 'A'. Can you explain this answer?.
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