Home
Class 12
MATHS
A planet of mass m moves along an ellips...

A planet of mass m moves along an ellipse around the sun (mass M) so that its maxima and minimum distances from the sun are equal to `r_1` and `r_2` respectively. The angular momentum of this plane relative to the centre of the sun is `msqrt((PGM r_1r_2)/(8(r_1+r_2)))`

A

1 sq. units

B

2 sq. units

C

`(160)/(17)` sq. units

D

4 sq. units

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION -I ( Subjective Type Questions )|24 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

A planet of mass m moves along an ellipse around the Sun so that its maximum and minimum distances from the Sun are equal to r_1 and r_2 respectively. Find the angular momentum M of this planet relative to the centre of the Sun.

A planet of mass m moves along an ellipse around the sum of mass M so that its maximum and minimum distances from sum are a and b respectively. Prove that the angular momentum L of this planet relative to the centre of the sun is L=msqrt((2GMab)/((a+b)))

A planet of mass m revolves in elliptical orbit around the sun of mass M so that its maximum and minimum distance from the sun equal to r_(a) and r_(p) respectively. Find the angular momentum of this planet relative to the sun.

A planet of mass m is moving in an elliptical orbit about the sun (mass of sun = M). The maximum and minimum distances of the planet from the sun are r_(1) and r_(2) respectively. The period of revolution of the planet wil be proportional to :

A planet of small mass m moves around the sun of mass M along an elliptrical orbit such that its minimum and maximum distance from sun are r and R respectively. Its period of revolution will be:

A planet of mass m moves around the Sun of mass Min an elliptical orbit. The maximum and minimum distance of the planet from the Sun are r_(1) and r_(2) , respectively. Find the relation between the time period of the planet in terms of r_(1) and r_(2) .

A: The speed of a planet is maximum at perihelion . R : The angular momentum of a planet about centre of sun is conserved .

A planet is revolving in an elliptical orbit around the sun. Its closest distance from the sun is r and the farthest distance is R. If the velocity of the planet nearest to the sun be v and that farthest away from the sun be V. then v/V is

If r is the distance between the Earth and the Sun. Then, angular momentum of the Earth around the sun is proportional to

A hypothetical planet of mass m is moving along an elliptical path around sun of mass M_s under the influence of its gravitational pull. If the major axis is 2R, find the speed of the planet when it is at a distance of R from the sun.

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION - J ( Aakash Challengers Questions )
  1. Find the angle between the two tangents from the origin to the circle ...

    Text Solution

    |

  2. The area of the triangle formed by the tangent at (3, 4) to the circle...

    Text Solution

    |

  3. If P(1), P(2), P(3) are the perimeters of the three circles, S(1) :...

    Text Solution

    |

  4. If (1, a), (b, 2) are conjugate points with repect to the circle x^(2)...

    Text Solution

    |

  5. Area of the equilateral triangle inscribed in the circle x^(2) + y^(2)...

    Text Solution

    |

  6. A solid sphere of radius R/2 is cut out of a solid sphere of radius R ...

    Text Solution

    |

  7. The range of parameter ' a ' for which the variable line y=2x+a lies b...

    Text Solution

    |

  8. A planet of mass m moves along an ellipse around the sun (mass M) so t...

    Text Solution

    |

  9. There are exactly two points on the ellipse x^2/a^2+y^2/b^2=1,whose di...

    Text Solution

    |

  10. The line2px+ysqrt(1-p^(2))=1(abs(p)lt1) for different values of p, tou...

    Text Solution

    |

  11. A point P moves such that the sum of the slopes of the normals drawn f...

    Text Solution

    |

  12. A rectangular hyperbola whose centre is C is cut by any circle of radi...

    Text Solution

    |

  13. Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter,...

    Text Solution

    |

  14. Tangents are drawn from the points on a tangent of the hyperbola x^2-y...

    Text Solution

    |

  15. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

    Text Solution

    |

  16. Let F(x) = (1+b^(2))x^(2) + 2bx + 1. The minimum value of F(x) is the ...

    Text Solution

    |