Home
Class 11
PHYSICS
Use principle of homogenity of dimensio...

Use principle of homogenity of dimensions to find which one of the following relations is correct : (i) `T^2 =4pi^2r^2`
(ii) `T^2 =(4pi^2r^3)/(G)`
(iii) `T^2 = (4pi^2 r^3)/(GM)`

Promotional Banner

Topper's Solved these Questions

  • Units and Measurements

    SL ARORA|Exercise Exercise|499 Videos

  • THERMODYNAMICS

    SL ARORA|Exercise Exercise|342 Videos

  • VECTORS

    SL ARORA|Exercise Problems For Self Practice|56 Videos

Similar Questions

Explore conceptually related problems

State the principle of homogeneity of dimensions.Test the dimensional homogeneity of the following equations:- h=h_0 + v_0*t+1/2g*t^2

Differentiate the following w.r.t.x (i) pi^2 (ii) e^2 (iii) -14

Differentiate the following w.r.t.x. (i) 2002 (ii) e^((-1)) (iii) pi^(2)

Find the principal values of the following : (i) sin^(-1)(sin.(5pi)/(3)) (ii) cos^(-1)cos((4pi)/(3)) (iii) cos [(pi)/(3) + cos^(-1) (-(1)/(2))]

The angle of intersection of the curves r=sin theta+cos theta and r=2sin theta is 1. (pi)/(6) 2. (pi)/(3) 3. (pi)/(4) 4. (pi)/(2)

Plot the poitns whose coordinate are given below. (i) (2,3pi) (ii) (2,-2pi//3) (iii) (-3,3pi//4) .

Find the equations of the tangent and normal to the curve x = a sin 3t, y = cos 2 t " at " t = (pi)/(4)

SL ARORA-Units and Measurements-Exercise
  1. The SI unit of energy is J = kg m^2 s^(-2), that of speed upsilon is m...

    Text Solution

    |

  2. The SI unit of energy is J = kg m^2 s^(-2), that of speed upsilon is m...

    Text Solution

    |

  3. Use principle of homogenity of dimensions to find which one of the fo...

    Text Solution

    |

  4. Use principle of homogenity of dimensions to find which one of the fo...

    Text Solution

    |

  5. Use principle of homogenity of dimensions to find which one of the fo...

    Text Solution

    |

  6. The mean value of period of oscillation of a simple pendulum in an ex...

    Text Solution

    |

  7. If n^(th) division of main scale coincides with (n + 1)^(th) divisions...

    Text Solution

    |

  8. if the velocity of light c, the constant of gravitation G and plank,s ...

    Text Solution

    |

  9. The velocity of a body falling freely under acceleration due to gravit...

    Text Solution

    |

  10. A gas bubble, from an explosion under water, oscillates with a period ...

    Text Solution

    |

  11. A small steel ball of radius r is allowed to fall under gravity throug...

    Text Solution

    |

  12. Derive dimensionally the relation :S=ut+1/2at^(2).

    Text Solution

    |

  13. The specific heats of a gas are measured as Cp = (12.28 +-0.2) units a...

    Text Solution

    |

  14. The heat dissipated in a resistance can be obtained by the measurement...

    Text Solution

    |

  15. The work done by surface tension on rising water do height of h in a c...

    Text Solution

    |

  16. The length and breadth of a rectangle are measured as (a+- /\a) and (b...

    Text Solution

    |

  17. The length and breadth of a field are measured as : l = ( 120 +- 2) m ...

    Text Solution

    |

  18. 1 ns is defined as

    Text Solution

    |

  19. Light year is used to measure

    Text Solution

    |

  20. The angle subtended by a coin of radius 1 cm held at a distance of 80 ...

    Text Solution

    |