JEE Exam  >  JEE Questions  >  A planet of mass M, has two natural satellite... Start Learning for Free
A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.
  • a)
    P → 4; Q → 2 R → 1; S → 3
  • b)
    P → 3; Q → 2; R → 4, S → 1
  • c)
    P → 2; Q → 3 R → 1 S → 4
  • d)
    P → 2; Q → 3 R → 4; S → 1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A planet of mass M, has two natural satellites with masses m1 and m2. ...
(P) The speed of the natural satellite is given as,

(Q) Angular momentum of the satellite is given as,
L = mvR
Therefore,

(R) The kinetic energy of the satellite is given by,

Therefore,


(S) The Time period of the satellite is given by,

View all questions of this test
Explore Courses for JEE exam
A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.a)P → 4; Q → 2 R → 1; S → 3b)P → 3;Q → 2; R → 4, S → 1c)P → 2; Q → 3R → 1 S → 4d)P → 2; Q → 3R → 4; S → 1Correct answer is option 'B'. Can you explain this answer?
Question Description
A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.a)P → 4; Q → 2 R → 1; S → 3b)P → 3;Q → 2; R → 4, S → 1c)P → 2; Q → 3R → 1 S → 4d)P → 2; Q → 3R → 4; S → 1Correct answer is option 'B'. 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 A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.a)P → 4; Q → 2 R → 1; S → 3b)P → 3;Q → 2; R → 4, S → 1c)P → 2; Q → 3R → 1 S → 4d)P → 2; Q → 3R → 4; S → 1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.a)P → 4; Q → 2 R → 1; S → 3b)P → 3;Q → 2; R → 4, S → 1c)P → 2; Q → 3R → 1 S → 4d)P → 2; Q → 3R → 4; S → 1Correct answer is option 'B'. Can you explain this answer?.
Solutions for A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.a)P → 4; Q → 2 R → 1; S → 3b)P → 3;Q → 2; R → 4, S → 1c)P → 2; Q → 3R → 1 S → 4d)P → 2; Q → 3R → 4; S → 1Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.a)P → 4; Q → 2 R → 1; S → 3b)P → 3;Q → 2; R → 4, S → 1c)P → 2; Q → 3R → 1 S → 4d)P → 2; Q → 3R → 4; S → 1Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.a)P → 4; Q → 2 R → 1; S → 3b)P → 3;Q → 2; R → 4, S → 1c)P → 2; Q → 3R → 1 S → 4d)P → 2; Q → 3R → 4; S → 1Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.a)P → 4; Q → 2 R → 1; S → 3b)P → 3;Q → 2; R → 4, S → 1c)P → 2; Q → 3R → 1 S → 4d)P → 2; Q → 3R → 4; S → 1Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.a)P → 4; Q → 2 R → 1; S → 3b)P → 3;Q → 2; R → 4, S → 1c)P → 2; Q → 3R → 1 S → 4d)P → 2; Q → 3R → 4; S → 1Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1,K1 and T1 to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and v2, L2,K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4, match the ratios in List-I to the numbers in List-II.a)P → 4; Q → 2 R → 1; S → 3b)P → 3;Q → 2; R → 4, S → 1c)P → 2; Q → 3R → 1 S → 4d)P → 2; Q → 3R → 4; S → 1Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev