Home
Class 11
PHYSICS
In the expression P =E I^2 m^(-5) G^(-2)...

In the expression `P =E I^2 m^(-5) G^(-2),` E, m, I and G denote energy, mass, angular momentum and gravitational constant, respectively. Show that P is a dimensionless quantity.

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

In the expression P =E I^2 m^(-5) G^9(-2), E, m, I and G denote energy, mass, angular momentum and gravitational constant, respectively. Show that P is a dimensionless quantity.

If E, M, L and G denote energy, mass, angular momentum and gravitational constant repectively then the quantity (E^(2)L^(2)//M^(5)G%(2)) has the dimensions of :-

E, m, L, G denote energy mass, angular momentum & gravitation constant respectively. The dimensions of (EL^(2))/(m^(5)G^(2)) will be that of :

If E,M,J and G respectively denote energy , mass angular momentum and gravitational constant then (EJ^(2))/(M^(2)G^(2)) has the dimensions of .

If E , M , J , and G , respectively , denote energy , mass , angular momentum , and gravitational constant , then EJ^(2) //M^(5) G^(2) has the dimensions of

If E and G resp. denote energy and gravitational constant then E/G has the dimensions of

If v,p and E denote velocity, lenear momentum and KE of the paritcle respectively, then

Find dimensions of p in the formula p = E L M^-5 G^-2 , E = energy, L = angular momentum, M = mass, G = gravitational constant

If E is energy M is mass, J is angular momentum and G is universal gravitational constant ,then dimensions of x=EJ^2/G^2M^5 can be that of

SL ARORA-Units and Measurements-Exercise
  1. Calculate the dimensions of ther force and impulse taking velocity, de...

    Text Solution

    |

  2. Calculate the dimensions of linear momentum and surface tension in ter...

    Text Solution

    |

  3. In the expression P =E I^2 m^(-5) G^(-2), E, m, I and G denote energy,...

    Text Solution

    |

  4. The unit of force in SI system is newton (N) and in CGS system is dyne...

    Text Solution

    |

  5. If the value of universal gravitational constant is 6.67xx10^(11) Nm^2...

    Text Solution

    |

  6. The density of mercury is 13.6 g cm^(-3) in CGS system. Find its value...

    Text Solution

    |

  7. The surface tension of water is 72 dyne/cm. Express is in SI units.

    Text Solution

    |

  8. An electriv bulb has a power of 500 W. Express it in CGS units.

    Text Solution

    |

  9. If the value of atmospheric pressure is 10^(6) dyne cm^(-2), find its ...

    Text Solution

    |

  10. The value of Stefan's constant is sigma =5.76xx 10^(-8) J s^(-1) m^(-2...

    Text Solution

    |

  11. Find the value of 100 J on a system which has 20 cm, 250g and half min...

    Text Solution

    |

  12. If the unit of force energy and velocity are 20 N, 200J and 5m//s, fin...

    Text Solution

    |

  13. When 1m, 1kg and 1min. Are taken as the fundamental units, the magnitu...

    Text Solution

    |

  14. Test the dimensional consistency of the following equations: v= u + at

    Text Solution

    |

  15. Test the dimensional consistency of the following equations: s= ut + (...

    Text Solution

    |

  16. Test the dimensional consistency of the following equations: v^2 - u^2...

    Text Solution

    |

  17. The viscous force 'F' acting on a small sphere of rtadius 'r' moving w...

    Text Solution

    |

  18. The distance covered by a particle in time t is given by x=a+bt+ct^2+d...

    Text Solution

    |

  19. The critical velocity of the flow of a liquid through a pipe of radius...

    Text Solution

    |

  20. The rate flow (V) of a liquid through a pipe of radius (r ) under a pr...

    Text Solution

    |