Home
Class 12
PHYSICS
A satellite is orbiting around a planet....

A satellite is orbiting around a planet. Its orbital velocity `(V_(0))` is found to depend upon
(A) Radius of orbit (R)
(B) Mass of planet (M)
(C ) Universal gravitatin contant (G)
Using dimensional anlaysis find and expression relating orbital velocity `(V_(0))` to the above physical quantities.

Text Solution

Verified by Experts

The correct Answer is:
`v_(0)=ksqrt((GM)/(R))`
Promotional Banner

Topper's Solved these Questions

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (S-2)|7 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (O-1) Single Correct Type Questions.|37 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Solved Examples|7 Videos

  • TEST PAPERS

    ALLEN |Exercise MATHS|1 Videos

  • WAVE OPTICS

    ALLEN |Exercise Exercise 2 (Previous Year Questions)|7 Videos

Similar Questions

Explore conceptually related problems

The distance moved by a particle in time from centre of ring under the influence of its gravity is given by x=a sin omegat where a and omega are constants. If omega is found to depend on the radius of the ring (r), its mass (m) and universal gravitation constant (G), find using dimensional analysis an expression for omega in terms of r, m and G.

A satellite is moving around the earth's with speed v in a circular orbit of radius r . If the orbit radius is decreases by 1% , its speed will

Two satellite revolving around a planet in the same orbit have the ratio of their masses m_1/m_2 =1/4 The ratio of their orbital velocities v_1/v_2= ....

A satellite of mass m revolves in a circular orbit of radius R a round a planet of mass M. Its total energy E is :-

It is known that the time of revolution T of a satellite around the earth depends on the universal gravitational constant G, the mass of the earth M, and the radius of the circular orbit R. Obtain an expression for T using dimensional analysis.

A planet is revolving around the Sun in an elliptical orbit. Its closest distance from the sun is r_(min) . The farthest distance from the sun is r_(max) if the orbital angular velocity of the planet when it is nearest to the Sun omega then the orbital angular velocity at the point when it i at the farthest distanec from the sun is

Length of a year on a planet is the duration in which it completes one revolution around the sun. Assume path of the planet known as orbit to be circular with sun at the centre. The length T of a year of a planet orbiting around the sun in circular orbit depends on universal gravitational constant G, mass m_(s) of the sun and radius r of the orbit. if TpropG^(a)m_(s)^(b)r^(c) find value of a+b+2c.

An astronaut of mass m is working on a satellite orbitting the earth at a distance h from the earth's surface the radius fo the earth is R while its mass is M the gravitational pull F_(G) on the astronaut is

If v_(e) is escape velocity and v_(0) , is orbital velocity of satellite for orbit close to the earth's surface. Then are related by

The orbital velocity of an satellite in a circular orbit just above the earth's surface is v . For a satellite orbiting at an altitude of half of the earth's radius, the orbital velocity is

ALLEN -UNIT & DIMENSIONS, BASIC MATHS AND VECTOR -Exercise (S-1)
  1. The time period (T) of a spring mass system depends upon mass (m) & s...

    Text Solution

    |

  2. The distance moved by a particle in time from centre of ring under th...

    Text Solution

    |

  3. A satellite is orbiting around a planet. Its orbital velocity (V(0)) i...

    Text Solution

    |

  4. Assume that the largest stone of mass 'm' that can be moved by a flowi...

    Text Solution

    |

  5. Given vecF=(veca)/(t) where symbols have their usual meaning. The dime...

    Text Solution

    |

  6. A block is applied two forces of magnitude 5N each. One force is actin...

    Text Solution

    |

  7. Two forces act on a particle simultaneously as shown in the figure. F...

    Text Solution

    |

  8. The maximum and minimum magnitudes of the resultant of two forces are ...

    Text Solution

    |

  9. Three forces of magnitudes 2N, 3N and 6N act at corners of a cube alon...

    Text Solution

    |

  10. The farm house shown in figure has rectangular shape and has sides par...

    Text Solution

    |

  11. Vector B has x,y and z components of 4.00,6.00 and 3.00 units, respect...

    Text Solution

    |

  12. Three ant P,Q and R are pulling a grain with forces of magnitude 6N,3s...

    Text Solution

    |

  13. Three boys are pushing horizontally a box placed on horizontal table. ...

    Text Solution

    |

  14. Consider the two vectors : vecL=1hati+2hatj+3hatk " and " vecl=4hati+h...

    Text Solution

    |

  15. Find component of vector vec(a)=hati+hatj+3hatk in directions parallel...

    Text Solution

    |

  16. Calculate vecr=veca-vecb+vecc where veca=5hati+4hatj-6hatk, vecb=-2hat...

    Text Solution

    |

  17. If the velocity of a particle is (2hati+3hatj-4hatk) and its accelerat...

    Text Solution

    |

  18. Quito, a city in Ecuador and Kampala, a city situated in Uganda both l...

    Text Solution

    |

  19. Use the approximation (1+x)^(n)~~1+nx,|x|ltlt1, to find approximate va...

    Text Solution

    |

  20. Use the small angle appoximate to find approximate values for (A) sin ...

    Text Solution

    |